{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Volatility smile and model calibration\n",
    "\n",
    "\n",
    "## Contents\n",
    "   - [How to produce the smile?](#sec1)\n",
    "       - [Implied volatility](#sec1.1)\n",
    "       - [Lewis representation](#sec1.2)\n",
    "   - [Market data](#sec2)\n",
    "       - [1 week maturity](#sec2.1)\n",
    "       - [6 months maturity](#sec2.2)\n",
    "       \n",
    "       \n",
    "       \n",
    "In this notebook, we discuss in a very **basic and naive** way the implied volatility of options.\n",
    "\n",
    "The **Implied Volatility** is that value $\\sigma$ that must be inserted into the Black-Scholes (BS) formula in order to retrieve the option price quoted in the market:\n",
    "\n",
    "$$ BS\\;(S, K, T, r, \\sigma) = P  $$\n",
    "\n",
    "where $S$ is the underlying spot price, $K$ is the strike, $T$ time to maturity, $r$ risk free interest rate and $P$ the option price quoted in the market. All these quantities are **observable**.     \n",
    "The only **non observable** quantity is $\\sigma$.\n",
    "However, since BS is an increasing continuous function of $\\sigma$, there is a one-one correspondence \n",
    "\n",
    "$$\\sigma \\longleftrightarrow BS\\;(S, K, T, r, \\sigma)$$\n",
    "\n",
    "where all the other variables are kept fixed.    \n",
    "For this reasons, it is common to quote option market prices in terms of implied volatilities.\n",
    "\n",
    "According to the assumptions of the Black-Scholes model, the stock price follows a Geometric Brownian Motion and the implied volatility (IV) should be the same for all $K$, $T$. \n",
    "In practice, however, it depends on both. This relation $\\sigma(K, T)$ is called a **volatility surface**.    \n",
    "The dependence of IV on $T$ is called **term structure**, while the dependece on $K$ is called **volatility smile**.\n",
    "In this notebook I will consider only the volatility smile.\n",
    "\n",
    "But... why does the volatility change for different $K$ and $T$?        \n",
    "The sad truth is that the Geometric Brownian Motion is not a good model to describe the underlying dynamics!\n",
    "\n",
    "And here there are plenty of nice quotes to recall, such as: \n",
    "\n",
    "> *\"Essentially, all models are wrong, but some are useful\".* [George Box](https://en.wikipedia.org/wiki/All_models_are_wrong)\n",
    "\n",
    "> *\"The implied volatility is the wrong number to put in the wrong formula to obtain the right price\".* Riccardo Rebonato [1]\n",
    "\n",
    "Some models (still wrong, but more useful) that better replicate the price dynamics, and under an appropriate risk neutral measure, are able to reproduce the volatility surface are:\n",
    "1. Local volatility models:  $ dS_t = \\mu S_t dt + S_t \\sigma(t, S_t) dW_t $. \n",
    "\n",
    "2. Stochastic volatility models, e.g. Heston model.\n",
    "\n",
    "3. Exponential or Geometric Lévy processes, e.g. Merton Jump-Diffusion model, NIG, Variance Gamma.\n",
    "\n",
    "4. Combination of stochastic volatility and jumps, e.g. [Bates model](https://en.wikipedia.org/wiki/Stochastic_volatility_jump). These type of models are the best for this purpose (see [2]). The reason is that they describe better the empirical features of the prices, such as volatility clustering and jumps. \n",
    "The presence of many parameters makes these models much more flexible.\n",
    "\n",
    "Here I consider only the case of stochastic volatility and Lévy processes, since I have already introduced them in the notebooks **1.4** and **1.5**.\n",
    "\n",
    "When considering complex models, it is very difficult to pass from the physical measure to the correct risk neutral measure (which is not unique).\n",
    "For this reason, the best approach is to derive the model parameters directly from the prices (usually European call and put options with different strikes and maturities) \n",
    "already quoted in the market.\n",
    "The process of choosing the risk neutral parameters for a model, such that it reproduces the prices in the market is called **model calibration**."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from FMNM.Parameters import Option_param\n",
    "from FMNM.Processes import Diffusion_process, Merton_process, VG_process, Heston_process\n",
    "from FMNM.BS_pricer import BS_pricer\n",
    "from FMNM.Merton_pricer import Merton_pricer\n",
    "from FMNM.VG_pricer import VG_pricer\n",
    "from FMNM.Heston_pricer import Heston_pricer\n",
    "\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import scipy as scp\n",
    "import scipy.stats as ss\n",
    "import matplotlib.pyplot as plt\n",
    "import scipy.optimize as scpo\n",
    "from functools import partial\n",
    "from itertools import compress\n",
    "import os\n",
    "import warnings\n",
    "\n",
    "warnings.filterwarnings(\"ignore\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id='sec1'></a>\n",
    "# How to produce the smile?\n",
    "\n",
    "\n",
    "Alright... Let us check if the \"complex models\" mentioned above, are able to reproduce the volatility smile!\n",
    "\n",
    "In the following cell, I'm going to create the objects for the **Black-Scholes, Merton, Variance Gamma and Heston** pricers. I chose the values of the process parameters such that the processes have similar variance.    \n",
    "The option is a European call with strike $K=100$, and maturity $T=1$. We will see below that changing the time to maturity can create problems.\n",
    "\n",
    "The notation is the same I used in the other notebooks. If you have forgotten it, check the *doc*:    \n",
    "You can type `Heston_param.__doc__` or `Heston_param??` in a cell."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "T = 1\n",
    "S0 = 100\n",
    "K = 100\n",
    "opt_param = Option_param(S0=S0, K=K, T=T, v0=0.04, exercise=\"European\", payoff=\"call\")\n",
    "\n",
    "diff_param = Diffusion_process(r=0.1, sig=0.2)\n",
    "Merton_param = Merton_process(r=0.1, sig=0.1, lam=0.8, muJ=-0.04, sigJ=0.2)\n",
    "VG_param = VG_process(r=0.1, theta=-0.09, sigma=0.19, kappa=0.6)\n",
    "Heston_param = Heston_process(mu=0.1, rho=-0.3, sigma=0.6, theta=0.04, kappa=5)\n",
    "\n",
    "BS = BS_pricer(opt_param, diff_param)\n",
    "VG = VG_pricer(opt_param, VG_param)\n",
    "Mert = Merton_pricer(opt_param, Merton_param)\n",
    "Hest = Heston_pricer(opt_param, Heston_param)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let us create a grid of strikes $[50, 55, ..., 145, 150]$, and compute the option prices.    \n",
    "In this case, the best approach is to use the Fourier Transform method described in the notebook **1.4**.     \n",
    "**This method is super fast!!**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "strikes = np.arange(50, 151, 5)  # strike grid\n",
    "BS_prices = BS.FFT(strikes)\n",
    "Mert_prices = Mert.FFT(strikes)\n",
    "Hest_prices = Hest.FFT(strikes)\n",
    "VG_prices = VG.FFT(strikes)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Well... if there is a closed formula, why not use it?   \n",
    "\n",
    "The closed formula is always the best solution, but the FFT method is very fast and has a small error. You won't notice the difference.\n",
    "\n",
    "For VG and Heston there is no closed formula. A possible alternative is to use the Fourier inversion method. \n",
    "\n",
    "Let's see how small is the error:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Closed formula prices\n",
    "BS_prices_cl = np.zeros_like(strikes, dtype=float)\n",
    "VG_prices_cl = np.zeros_like(strikes, dtype=float)\n",
    "Mert_prices_cl = np.zeros_like(strikes, dtype=float)\n",
    "Hest_prices_cl = np.zeros_like(strikes, dtype=float)\n",
    "\n",
    "for i, K in enumerate(strikes):\n",
    "    BS.K = K\n",
    "    VG.K = K\n",
    "    Mert.K = K\n",
    "    Hest.K = K\n",
    "    BS_prices_cl[i] = BS.closed_formula()\n",
    "    VG_prices_cl[i] = VG.Fourier_inversion()\n",
    "    Mert_prices_cl[i] = Mert.closed_formula()\n",
    "    Hest_prices_cl[i] = Hest.Fourier_inversion()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Closed vs FFT. Total absolute error BS:  1.2537767304365843e-06\n",
      "Closed vs FFT. Total absolute error VG:  3.149305698890714e-06\n",
      "Closed vs FFT. Total absolute error Merton:  3.2961514604412656e-06\n",
      "Closed vs FFT. Total absolute error Heston:  2.10374569764582e-06\n"
     ]
    }
   ],
   "source": [
    "print(\"Closed vs FFT. Total absolute error BS: \", np.linalg.norm(BS_prices - BS_prices_cl, 1))\n",
    "print(\"Closed vs FFT. Total absolute error VG: \", np.linalg.norm(VG_prices - VG_prices_cl, 1))\n",
    "print(\"Closed vs FFT. Total absolute error Merton: \", np.linalg.norm(Mert_prices - Mert_prices_cl, 1))\n",
    "print(\"Closed vs FFT. Total absolute error Heston: \", np.linalg.norm(Hest_prices - Hest_prices_cl, 1))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Indeed... very small!\n",
    "\n",
    "#### Comments:\n",
    "\n",
    "At short maturities e.g. $T=0.01$, the Fourier inversion method may have problems. In our case it may have problems for the VG and Heston model. The reason is that the numerical integration used in the Fourier inversion method has ad-hoc bounds for the truncation of the integral. \n",
    "Usually, for small values of $T$, the tails of the integrand decay very slowly and the ad-hoc bounds produce a truncation error. \n",
    "\n",
    "Similar problems happen also for other numerical methods.    \n",
    "In general, there are always problems in pricing deep OTM (out of the money) options for very short maturities, when the closed formula is not available. \n",
    "The reason is that the error of the numerical method is usually bigger than the option price itself!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id='sec1.1'></a>\n",
    "## Implied volatility\n",
    "\n",
    "How to find the value $\\sigma$ such that  \n",
    "\n",
    "$$ BS\\;(S, K, T, r, \\sigma) - P = 0 $$\n",
    "\n",
    "for fixed $S, K, T, r$ ?\n",
    "\n",
    "We have to use numerical methods!\n",
    "\n",
    "The most common methods are the [Newton](https://en.wikipedia.org/wiki/Newton%27s_method) method and the [Bisection](https://en.wikipedia.org/wiki/Bisection_method) method. A more advanced method is the [Brent](https://en.wikipedia.org/wiki/Brent%27s_method) method.    \n",
    "Of course all of them are implemented in `scipy.optimize`: \n",
    "[Newton](https://docs.scipy.org/doc/scipy/reference/generated/scipy.optimize.newton.html#scipy.optimize.newton), \n",
    "[Bisection](https://docs.scipy.org/doc/scipy/reference/generated/scipy.optimize.bisect.html#scipy.optimize.bisect), [Brent](https://docs.scipy.org/doc/scipy/reference/generated/scipy.optimize.brentq.html#scipy.optimize.brentq).    \n",
    "\n",
    "At first sight, the Newton method seems quite good since the derivative of BS with respect to $\\sigma$ is known analytically:\n",
    "\n",
    "$$ \\text{VEGA:} \\quad \\frac{\\partial BS}{\\partial \\sigma} = S \\sqrt{T} N'(d_1) $$\n",
    "\n",
    "where N'(x) is the standard normal density and $d_1$ is a variable defined...everywhere :) (see notebook **1.1**).     \n",
    "The Newton method has quadratic convergence if some conditions are satisfied.\n",
    "However, for high values of $\\sigma$ the VEGA can be very close to zero, and this makes the convergence slow.   \n",
    "Instead, the bisection method is a very robust method. \n",
    "\n",
    "In the function below I use \n",
    "[fsolve](https://docs.scipy.org/doc/scipy/reference/generated/scipy.optimize.fsolve.html),\n",
    "which is a very efficient method, as the default method, but with the possibility to switch to the brent method."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "def implied_volatility(price, S0, K, T, r, payoff=\"call\", method=\"fsolve\", disp=True):\n",
    "    \"\"\"Returns Implied volatility\n",
    "    methods:  fsolve (default) or brent\n",
    "    \"\"\"\n",
    "\n",
    "    def obj_fun(vol):\n",
    "        return price - BS.BlackScholes(payoff=payoff, S0=S0, K=K, T=T, r=r, sigma=vol)\n",
    "\n",
    "    if method == \"brent\":\n",
    "        x, r = scpo.brentq(obj_fun, a=1e-15, b=500, full_output=True)\n",
    "        if r.converged == True:\n",
    "            return x\n",
    "    if method == \"fsolve\":\n",
    "        X0 = [0.1, 0.5, 1, 3]  # set of initial guess points\n",
    "        for x0 in X0:\n",
    "            x, _, solved, _ = scpo.fsolve(obj_fun, x0, full_output=True, xtol=1e-8)\n",
    "            if solved == 1:\n",
    "                return x[0]\n",
    "\n",
    "    if disp == True:\n",
    "        print(\"Strike\", K)\n",
    "    return -1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Another approach is to find\n",
    "\n",
    "$$ \\text{argmin}_{\\theta} \\bigg( BS\\;(S, K, T, r, \\sigma) - P \\bigg)^{2n}  \\quad \\quad \\text{for } n>0$$\n",
    "\n",
    "This is an uncommon method. But it is useful when the root finder is not able to find a solution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "def implied_vol_minimize(price, S0, K, T, r, payoff=\"call\", disp=True):\n",
    "    \"\"\"Returns Implied volatility by minimization\"\"\"\n",
    "\n",
    "    n = 2  # must be even\n",
    "\n",
    "    def obj_fun(vol):\n",
    "        return (BS.BlackScholes(payoff=payoff, S0=S0, K=K, T=T, r=r, sigma=vol) - price) ** n\n",
    "\n",
    "    res = scpo.minimize_scalar(obj_fun, bounds=(1e-15, 8), method=\"bounded\")\n",
    "    if res.success == True:\n",
    "        return res.x\n",
    "    if disp == True:\n",
    "        print(\"Strike\", K)\n",
    "    return -1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let us compute the implied volatilities from the prices obtained before. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "IV_BS = []\n",
    "IV_VG = []\n",
    "IV_Mert = []\n",
    "IV_Hest = []\n",
    "for i in range(len(strikes)):\n",
    "    IV_BS.append(implied_volatility(BS_prices[i], S0=100, K=strikes[i], T=T, r=0.1))\n",
    "    IV_VG.append(implied_volatility(VG_prices[i], S0=100, K=strikes[i], T=T, r=0.1))\n",
    "    IV_Mert.append(implied_volatility(Mert_prices[i], S0=100, K=strikes[i], T=T, r=0.1))\n",
    "    IV_Hest.append(implied_volatility(Hest_prices[i], S0=100, K=strikes[i], T=T, r=0.1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "IV_BS_m = []\n",
    "IV_VG_m = []\n",
    "IV_Mert_m = []\n",
    "IV_Hest_m = []\n",
    "for i in range(len(strikes)):\n",
    "    IV_BS_m.append(implied_vol_minimize(BS_prices[i], S0=100, K=strikes[i], T=T, r=0.1))\n",
    "    IV_VG_m.append(implied_vol_minimize(VG_prices[i], S0=100, K=strikes[i], T=T, r=0.1))\n",
    "    IV_Mert_m.append(implied_vol_minimize(Mert_prices[i], S0=100, K=strikes[i], T=T, r=0.1))\n",
    "    IV_Hest_m.append(implied_vol_minimize(Hest_prices[i], S0=100, K=strikes[i], T=T, r=0.1))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's see if `implied_volatility` and `implied_vol_minimize` produce the same output."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " Are the IV values obtained by the methods above equal?  True\n"
     ]
    }
   ],
   "source": [
    "print(\n",
    "    \" Are the IV values obtained by the methods above equal? \",\n",
    "    np.allclose(np.array(IV_BS), np.array(IV_BS_m))\n",
    "    & np.allclose(np.array(IV_VG), np.array(IV_VG_m))\n",
    "    & np.allclose(np.array(IV_Mert), np.array(IV_Mert_m))\n",
    "    & np.allclose(np.array(IV_Hest), np.array(IV_Hest_m)),\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1600x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(16, 4))\n",
    "ax1 = fig.add_subplot(121)\n",
    "ax2 = fig.add_subplot(122)\n",
    "ax1.plot(strikes, BS_prices, label=\"BS\")\n",
    "ax1.plot(strikes, VG_prices, label=\"VG\")\n",
    "ax1.set_xlim([80, 150])\n",
    "ax1.set_ylim([0, 30])\n",
    "ax1.plot(strikes, Mert_prices, label=\"Mert\")\n",
    "ax1.plot(strikes, Hest_prices, label=\"Hest\")\n",
    "ax1.set_title(\"Comparison of prices\")\n",
    "ax1.set_xlabel(\"Strike\")\n",
    "ax1.set_ylabel(\"Price\")\n",
    "ax2.plot(strikes, IV_BS, label=\"BS\")\n",
    "ax2.plot(strikes, IV_VG, label=\"VG\")\n",
    "ax2.plot(strikes, IV_Mert, label=\"Mert\")\n",
    "ax2.plot(strikes, IV_Hest, label=\"Hest\")\n",
    "ax2.set_title(\"Comparison of Implied volatilities\")\n",
    "ax2.set_xlabel(\"Strike\")\n",
    "ax2.set_ylabel(\"Imp Vol\")\n",
    "ax1.legend()\n",
    "ax2.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Nice plot!  We verified that the Heston, Variance Gamma and Merton models produce a smile!!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id='sec1.2'></a>\n",
    "##  Lewis representation\n",
    "\n",
    "\n",
    "In [2], Gatheral suggests an elegant implicit expression for computing the implied volatility (Eq 5.7 page 60) generated by a stocastic process with characteristic function $\\phi_T$.     \n",
    "The expression makes use of the Lewis representation for the option price, that I presented in the notebook **1.4**. This version looks slightly different from Eq. 5.7 in [2], but they are equivalent. \n",
    "\n",
    "The value of $\\sigma$ can be obtained implicitly from \n",
    "\n",
    "$$ 0 = \\int_{0}^{\\infty} Re \\biggl[ e^{iuk} \\bigg( \\phi_T \\big(u-\\frac{i}{2} \\big) - \\phi^{BS}_T \\big(u-\\frac{i}{2} \\big) \\bigg) \\biggr] \\; \\frac{1}{u^2 + \\frac{1}{4}} du. $$\n",
    "\n",
    "Replacing $\\phi^{BS}_T(u) = e^{i(r-\\frac{1}{2}\\sigma^2) u T - \\frac{1}{2} \\sigma^2 u^2 T}$: \n",
    "\n",
    "$$ 0 = \\int_{0}^{\\infty} Re \\biggl[ e^{iuk} \\bigg( \\phi_T \\big(u-\\frac{i}{2} \\big) - \n",
    "e^{iurT} \\, e^{\\frac{1}{2}rT} \\, e^{-\\frac{1}{2}(u^2+\\frac{1}{4})\\sigma^2 T}\n",
    "\\bigg) \\biggr] \\; \\frac{1}{u^2 + \\frac{1}{4}} du. $$\n",
    "\n",
    "The implementation of `IV_Lewis` is [here](./functions/FFT.py)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "IV_L_BS = []\n",
    "IV_L_VG = []\n",
    "IV_L_Mert = []\n",
    "IV_L_Hest = []\n",
    "for K in strikes:\n",
    "    BS.K = K\n",
    "    VG.K = K\n",
    "    Mert.K = K\n",
    "    Hest.K = K\n",
    "    IV_L_BS.append(BS.IV_Lewis())\n",
    "    IV_L_VG.append(VG.IV_Lewis())\n",
    "    IV_L_Mert.append(Mert.IV_Lewis())\n",
    "    IV_L_Hest.append(Hest.IV_Lewis())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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HzTCPNl6/D6mtrSU+Pp6amhrNsyEiIiK4XC4KCgrIz88nIiKip5sjp5i+3iIiItJWV3IiLWUkIiIiIiIiIiJnLIVjIiIiIiIiIiJyxlI4JiIiIiIiIiIiZyyFYyIiIiIiIiIicsZSOCYiIiIiIiIiImcshWMiIiIiIiIiInLGUjgmIiIiIiIiIiJnLIVjIiIiIr3MLbfcgmEY3HHHHWH7vvOd72AYBrfccstJXWP+/PmMGzfupM4hIiIi0h8oHBMRERHphbKzs/njH/9IU1NTcJvL5WL58uXk5OSc8HlN08Tr9XZHE0VERET6BYVjIiIiIr3QhAkTyMnJYeXKlcFtK1euJDs7m/Hjxwe3mabJL3/5SwYNGkRkZCRnn302r776anD/mjVrMAyDf/zjH0yaNAmn08nvf/97HnzwQT799FMMw8AwDJYtW3Y6uyciIiLSa9h6ugEiIiIip4NpmjR5m4594CkQaYvEMIwuv+4b3/gGS5cu5Wtf+xoAL774Irfeeitr1qwJHvPAAw+wcuVKFi9ezNChQ3n33Xe58cYbSU1NZcaMGcHjfvCDH/DYY48xaNAgIiIiuPfee3nzzTd5++23AYiPjz+5ToqIiIj0UQrHRERE5IzQ5G3i3JfP7ZFrv3/D+0TZo7r8uptuuon77ruPffv2YRgG7733Hn/84x+D4VhDQwOPP/4477zzDpMnTwZg0KBBrF+/niVLloSEYw899BCXXHJJ8HlMTAw2m42MjIyT65yIiIhIH6dwTERERKSXSklJ4corr+S3v/0tpmly5ZVXkpKSEty/detWXC5XSOgF4PF4QkovASZNmnRa2iwiIiLS1ygcExERkTNCpC2S9294v8eufaJuvfVW5s6dC8Czzz4bss/v9wPwt7/9jYEDB4bsczqdIc+jo6NPuA0iIiIi/ZnCMRERETkjGIZxQqWNPW3WrFl4PB4ALrvsspB9o0aNwul0UlhYGFJCeTwcDgc+n6/b2ikiIiLSVykcExEREenFrFYr27ZtCz5uKzY2lu9///vcfffd+P1+zj//fGpra9mwYQMxMTHcfPPNnZ43Ly+PgoICNm3aRFZWFrGxsWGjzURERETOBArHRERERHq5uLi4Tvc9/PDDpKWlsWDBAvbu3UtCQgITJkzg/vvvP+o5r732WlauXMkFF1xAdXU1S5cu5ZZbbunmlouIiIj0foZpmmZPN6I71NbWEh8fT01NzVE/QIqIiMiZweVyUVBQQH5+PhERET3dHDnF9PUWERGRtrqSE1lOU5tERERERERERER6HYVjIiIiIiIiIiJyxlI4JiIiIiIiIiIiZyyFYyIiIiIiIiIicsZSOCYiIiIiIiIiImcshWMiIiIiIiIiInLGUjgmIiIiIiIiIiJnLIVjIiIiIiIiIiJyxlI4JiIiIiIiIiIiZyyFYyIiIiIiIiIicsZSOCYiIiLSy9xyyy18+ctfDtu+Zs0aDMOgurr6pK8xc+ZM5s2bd9LnEREREenrFI6JiIiIiIiIiMgZ64TCsUWLFpGfn09ERAQTJ05k3bp1nR67fv16pk6dSnJyMpGRkYwYMYInnngi5Jhly5ZhGEbYzeVynUjzRERERM4IGzZsYPr06URGRpKdnc1dd91FQ0NDcP+iRYsYOnQoERERpKenc9111wGBkWlr167lySefDH7u2rdvXw/1QkRERKRn2br6ghUrVjBv3jwWLVrE1KlTWbJkCZdffjlbt24lJycn7Pjo6Gjmzp3LWWedRXR0NOvXr+f2228nOjqab3/728Hj4uLi2LFjR8hrIyIiTqBLIiIiIuFM08RsauqRaxuRkRiG0a3n/Pzzz7nssst4+OGHeeGFFygrK2Pu3LnMnTuXpUuX8uGHH3LXXXfx+9//nilTplBZWRn8g+aTTz7Jzp07GTNmDA899BAAqamp3do+ERERkb6iy+HY448/zm233cY3v/lNABYuXMg//vEPFi9ezIIFC8KOHz9+POPHjw8+z8vLY+XKlaxbty4kHDMMg4yMjBPpg4iIiMgxmU1N7JgwsUeuPfzjjzCiorr0mlWrVhETExOyzefzBR8/+uij3HDDDcF5w4YOHcpTTz3FjBkzWLx4MYWFhURHRzN79mxiY2PJzc0NfiaLj4/H4XAQFRWlz18iIiJyxutSWaXH4+Gjjz7i0ksvDdl+6aWXsmHDhuM6xyeffMKGDRuYMWNGyPb6+npyc3PJyspi9uzZfPLJJ11pmoiIiEi/csEFF7Bp06aQ229+85vg/o8++ohly5YRExMTvF122WX4/X4KCgq45JJLyM3NZdCgQdx000289NJLNDY29mCPRERERHqnLo0cKy8vx+fzkZ6eHrI9PT2dkpKSo742KyuLsrIyvF4v8+fPD448AxgxYgTLli1j7Nix1NbW8uSTTzJ16lQ+/fRThg4d2uH53G43brc7+Ly2trYrXREREZEzjBEZyfCPP+qxa3dVdHQ0Q4YMCdlWVFQUfOz3+7n99tu56667wl6bk5ODw+Hg448/Zs2aNbz11lv89Kc/Zf78+XzwwQckJCR0uT0iIiIi/VWXyyqBsDkzTNM85jwa69ato76+nn//+9/86Ec/YsiQIXz1q18F4LzzzuO8884LHjt16lQmTJjA008/zVNPPdXh+RYsWMCDDz54Is0XERGRM5BhGF0ubezNJkyYwJYtW8ICtLZsNhsXX3wxF198MT/72c9ISEjgnXfe4ZprrsHhcISUaYqIiIicqboUjqWkpGC1WsNGiZWWloaNJmsvPz8fgLFjx3L48GHmz58fDMfas1gsnHPOOezatavT8913333cc889wee1tbVkZ2cfb1dERERE+rQf/vCHnHfeedx5551861vfIjo6mm3btrF69WqefvppVq1axd69e5k+fTqJiYm88cYb+P1+hg8fDgTmgX3//ffZt28fMTExJCUlYbGc0ELmIiIiIn1alz4BORwOJk6cyOrVq0O2r169milTphz3eUzTDCmJ7Gj/pk2byMzM7PQYp9NJXFxcyE1ERETkTHHWWWexdu1adu3axbRp0xg/fjw/+clPgp+fEhISWLlyJRdeeCEjR47k17/+NcuXL2f06NEAfP/738dqtTJq1ChSU1MpLCzsye6IiIiI9Jgul1Xec8893HTTTUyaNInJkyfz3HPPUVhYyB133AEERnQdPHiQ3/3udwA8++yz5OTkMGLECADWr1/PY489xne/+93gOR988EHOO+88hg4dSm1tLU899RSbNm3i2Wef7Y4+ioiIiPQpy5Yt63D7zJkzMU0z+Pycc87hrbfe6vDY888/nzVr1nR6jWHDhrFx48aTaaaIiIhIv9DlcGzOnDlUVFTw0EMPUVxczJgxY3jjjTfIzc0FoLi4OOQvj36/n/vuu4+CggJsNhuDBw/m//7v/7j99tuDx1RXV/Ptb3+bkpIS4uPjGT9+PO+++y5f+MIXuqGLIiIiIiIiIiIiHTPMtn9+7MNqa2uJj4+npqZGJZYiIiKCy+WioKCA/Px8IiIiero5corp6y0iIiJtdSUn0qyrIiIiIiIiIiJyxlI4JiIiIiIiIiIiZyyFYyIiIiIiIiIicsZSOCYiIiIiIiIiImcshWMiIiIiIiIiInLGUjgmIiIiIiIiIiJnLIVjIiIiIiIiIiJyxlI4JiIiInIMuz48zNIfrGf3R6U93ZQ+Iy8vj4ULF/Z0M0RERESOSeGYiIiIyFE01npY89KOlvvtNNZ6Tun1brnlFgzDCN6Sk5OZNWsWn332WchxS5Ys4eyzzyY6OpqEhATGjx/PL37xi07Pu2/fPgzDYNOmTae0/a0++OADvv3tb5+Wa4mIiIicDIVjIiIiIp0wTZO1L2+n2e0FwOPysnb5jlN+3VmzZlFcXExxcTH//Oc/sdlszJ49O7j/hRde4J577uGuu+7i008/5b333uMHP/gB9fX1p7xtxys1NZWoqKieboaIiIjIMSkcExEREenE7o9K2bupHNMfeG76Ye8nZez68PApva7T6SQjI4OMjAzGjRvHD3/4Qw4cOEBZWRkAf/3rX7n++uu57bbbGDJkCKNHj+arX/0qDz/88Alf0zRNfvnLXzJo0CAiIyM5++yzefXVV4P7J06cyK9+9avg8y9/+cvYbDZqa2sBKCkpwTAMduwIhIftyyrnz59PTk4OTqeTAQMGcNddd51wW0VERES6k8IxERERkQ60llN2ZO3LO055eWWr+vp6XnrpJYYMGUJycjIAGRkZ/Pvf/2b//v3ddp0HHniApUuXsnjxYrZs2cLdd9/NjTfeyNq1awGYOXMma9asAQJB2rp160hMTGT9+vUA/Otf/yIjI4Phw4eHnfvVV1/liSeeYMmSJezatYvXXnuNsWPHdlvbRURERE6GracbICIiItLbtC+nbK+1vPLy209NwLNq1SpiYmIAaGhoIDMzk1WrVmGxBP6u+bOf/YxrrrmGvLw8hg0bxuTJk7niiiu47rrrgsd0RUNDA48//jjvvPMOkydPBmDQoEGsX7+eJUuWMGPGDGbOnMkLL7yA3+/n888/x2q1cuONN7JmzRquuOIK1qxZw4wZMzo8f2FhIRkZGVx88cXY7XZycnL4whe+cILvjoiIiEj30sgxERERkXYqDzWElFO211peWXHo1MzxdcEFF7Bp0yY2bdrE+++/z6WXXsrll18eHCmWmZnJxo0b+fzzz7nrrrtobm7m5ptvZtasWfj9nTT6KLZu3YrL5eKSSy4hJiYmePvd737Hnj17AJg+fTp1dXV88sknrF27lhkzZnDBBRcER5YdLRz7yle+QlNTE4MGDeJb3/oWf/7zn/F6Ow4eRURERE43jRwTERERaSdpQDSDxqVQ8FnHAZlhgfyzU0keEHNKrh8dHc2QIUOCzydOnEh8fDzPP/88jzzySHD7mDFjGDNmDHfeeSfr169n2rRprF27lgsuuKBL12sN1P72t78xcODAkH1OpxOA+Ph4xo0bx5o1a9iwYQMXXngh06ZNY9OmTezatYudO3cyc+bMDs+fnZ3Njh07WL16NW+//Tbf+c53ePTRR1m7di12u71LbRURERHpbho5JiIiItKOYRjMuGEEdmfHf0d0RNiY8dXwubVOZXssFgtNTU2dHjNq1CggUCLZVaNGjcLpdFJYWMiQIUNCbtnZ2cHjZs6cyb/+9S/effddZs6cSUJCAqNGjeKRRx4hLS2NkSNHdnqNyMhIvvSlL/HUU0+xZs2a4Mg3ERERkZ6mkWMiIiIiHYiKczDza8N56zdbwvbNuGE4UXGOU3Ztt9tNSUkJAFVVVTzzzDPU19fzxS9+EYD//u//ZsCAAVx44YVkZWVRXFzMI488QmpqanDOsM60ribZ1qhRo/j+97/P3Xffjd/v5/zzz6e2tpYNGzYQExPDzTffDATCsSeffJKkpKRgGDdz5kyefvpprrnmmk6vuWzZMnw+H+eeey5RUVH8/ve/JzIyktzc3BN6f0RERES6k8IxERERkU4MmZjG7g8PB8srW8sph05KP6XXffPNN8nMzAQgNjaWESNG8MorrwTLFi+++GJefPFFFi9eTEVFBSkpKUyePJl//vOfwRUtO/Nf//VfYdsKCgp4+OGHSUtLY8GCBezdu5eEhAQmTJjA/fffHzxu+vTpAMyYMQPDMIKPFy5c2Ol8YwAJCQn83//9H/fccw8+n4+xY8fy17/+9ZhtFRERETkdDNM0zZ5uRHeora0lPj6empoa4uLiero5IiIi0sNcLhcFBQXk5+cTERFxwudprPXw0s/+jafJizPKxg3zzzulo8bkxHTX11tERET6h67kRJpzTEREROQoWssrA/cjFIyJiIiI9DMqqxQRERE5hqGT0k95KaWIiIiI9AyNHBMRERERERERkTOWwjERERERERERETljKRwTEREREREREZEzlsIxERERERERERE5YykcExERERERERGRM5bCMREREREREREROWMpHBMRERERERERkTOWwjERERGRY9ixcR2Lv30jOzau7+mm9DkzZ85k3rx5Pd0MERERkU4pHBMRERE5isaaalY/90zg/vmnaaypPmXX+uIXv8jFF1/c4b6NGzdiGAYff/xxcNuf/vQnLrzwQhITE4mKimL48OHceuutfPLJJ0e9jmEYvPbaa93Z9E6tXLmShx9++LRcS0REROREKBwTERER6YRpmqx+/lk8riYAPE1NvP2bRafserfddhvvvPMO+/fvD9v34osvMm7cOCZMmADAD3/4Q+bMmcO4ceP4y1/+wpYtW3juuecYPHgw999//ylrY1clJSURGxvb080QERER6dQJhWOLFi0iPz+fiIgIJk6cyLp16zo9dv369UydOpXk5GQiIyMZMWIETzzxRNhxf/rTnxg1ahROp5NRo0bx5z//+USaJiIiItJtdmxcx+4PNmL6/QCYfj+7/rOBHRs7/+xzMmbPnk1aWhrLli0L2d7Y2MiKFSu47bbbAPj3v//NL3/5Sx5//HEef/xxpk2bRn5+PjNmzODHP/4xb7zxxkm1Y+nSpYwcOZKIiAhGjBjBokVHAsFrr72W7373u8Hn8+bNwzAMtmzZAoDX6yU2NpZ//OMfQHhZ5aJFixg6dCgRERGkp6dz3XXXnVRbRURERE5Wl8OxFStWMG/ePH784x/zySefMG3aNC6//HIKCws7PD46Opq5c+fy7rvvsm3bNh544AEeeOABnnvuueAxGzduZM6cOdx00018+umn3HTTTVx//fW8//77J94zERERkZPQWFPN288/Cxjt9hisfv6ZU1JeabPZ+PrXv86yZcswTTO4/ZVXXsHj8fC1r30NgOXLlxMTE8N3vvOdDs9jGO3bfPyef/55fvzjH/O///u/bNu2jZ///Of85Cc/4be//S0QCLvWrFkTPH7t2rWkpKSwdu1aAD744ANcLhdTp04NO/eHH37IXXfdxUMPPcSOHTt48803mT59+gm3VURERKQ7dDkce/zxx7ntttv45je/yciRI1m4cCHZ2dksXry4w+PHjx/PV7/6VUaPHk1eXh433ngjl112Wchos4ULF3LJJZdw3333MWLECO677z4uuugiFi5ceMIdExERETlRoeWUZvu9p7S88tZbb2Xfvn0hAdSLL77INddcQ2JiIgA7d+5k0KBB2Gy24DGPP/44MTExwVtNTc0JXf/hhx/mV7/6Fddccw35+flcc8013H333SxZsgQIhGNbtmyhvLycqqoqtmzZwrx584LtXbNmDRMnTiQmJibs3IWFhURHRzN79mxyc3MZP348d9111wm1U0RERKS7dCkc83g8fPTRR1x66aUh2y+99FI2bNhwXOf45JNP2LBhAzNmzAhu27hxY9g5L7vssqOe0+12U1tbG3ITERER6Q4VB/aHlFO211peWX4gfG6wkzVixAimTJnCiy++CMCePXtYt24dt956a8hx7UeH3XrrrWzatIklS5bQ0NAQMvLseJWVlXHgwAFuu+22kKDtkUceYc+ePQCMGTOG5ORk1q5dy7p16zj77LP50pe+FBw5tmbNmpDPeW1dcskl5ObmMmjQIG666SZeeuklGhsbu9xOERERke7UpXCsvLwcn89Henp6yPb09HRKSkqO+tqsrCycTieTJk3izjvv5Jvf/GZwX0lJSZfPuWDBAuLj44O37OzsrnRFREREpFPJ2bkMOWcyhqXjj0qGxcLQL0whJTv3lFz/tttu409/+hO1tbUsXbqU3NxcLrroouD+oUOHsmfPHpqbm4PbEhISGDJkCAMHDjzh6/pbwsDnn3+eTZs2BW+bN2/m3//+NxAI5aZPn86aNWtYu3YtM2fOZMyYMfh8Pj7//HM2bNjAzJkzOzx/bGwsH3/8McuXLyczM5Of/vSnnH322VRXV59wm0VERERO1glNyN/+L5WmaR5zbot169bx4Ycf8utf/5qFCxeyfPnykzrnfffdR01NTfB24MCBLvZCREREpGOGYXDJt+7EERFJR3OOOSIjufibHc/31R2uv/56rFYrL7/8Mr/97W/5xje+EfK56Ktf/Sr19fUhE+V3h/T0dAYOHMjevXsZMmRIyC0/Pz94XOu8Y2vWrGHmzJkYhsG0adN47LHHaGpq6nC+sVY2m42LL76YX/7yl3z22Wfs27ePd955p1v7ISIiItIVtmMfckRKSgpWqzVsRFdpaWnYyK/2Wj9QjR07lsOHDzN//ny++tWvApCRkdHlczqdTpxOZ1ea3+fs2LiOd5Yu4cJv3MHwyef3dHNERETOKFHxCVz8rTv525O/bLfH5JJvzSUqPuGUXTsmJoY5c+Zw//33U1NTwy233BKyf/Lkydx7773ce++97N+/n2uuuYbs7GyKi4t54YUXMAwDSyej3loVFBSwadOmkG1Dhgxh/vz53HXXXcTFxXH55Zfjdrv58MMPqaqq4p577gEC4dj3vvc9bDYb06ZNC2679957mTBhAnFxcR1ec9WqVezdu5fp06eTmJjIG2+8gd/vZ/jw4Sf2RomIiIh0gy6NHHM4HEycOJHVq1eHbF+9ejVTpkw57vOYponb7Q4+nzx5ctg533rrrS6ds79prKlm9XOBlbBWP//0KVkRS0RERI5u+ORpIeWVreWUwydPO+XXvu2226iqquLiiy8mJycnbP9jjz3Gyy+/zCeffMLs2bMZOnQoX/nKV/D7/WzcuLHTgKrVPffcw/jx40NuH374Id/85jf5zW9+w7Jlyxg7diwzZsxg2bJlISPHxowZQ0pKCmeffXbwOjNmzMDn83U63xgESj9XrlzJhRdeyMiRI/n1r3/N8uXLGT169Am+SyIiIiInzzC7OFvrihUruOmmm/j1r3/N5MmTee6553j++efZsmULubm53HfffRw8eJDf/e53ADz77LPk5OQwYsQIANavX8+8efP47ne/yyOPPALAhg0bmD59Ov/7v//LVVddxeuvv84DDzzA+vXrOffcc4+rXbW1tcTHx1NTU3PMD4O9nWma/OVXP2fPR+9j+v0YFgtDJp3Hl+69v6ebJiIi0me4XC4KCgrIz88nIiLihM/TWFPNi/Nux93YgDM6mlufWHJKR43Jiemur7eIiIj0D13JibpUVgkwZ84cKioqeOihhyguLmbMmDG88cYb5OYGJqQtLi6msLAweLzf7+e+++6joKAAm83G4MGD+b//+z9uv/324DFTpkzhj3/8Iw888AA/+clPGDx4MCtWrDjuYKy/2bFxHbs/2Bh83roi1o6N607LX6pFRETkiKj4BC759tzgVAcKxkRERET6ly6PHOut+svIsbZ/nc6OHsH4pIv4uOJtihp36K/VIiIiXaCRRGcWfb1FRESkra7kRCe0WqWcGqZpsvr5Z/G4mnBaopiUfBkR1mjOSZmF0xKFp6Get+ffAv9aAFtfh/Ld4Pf1dLNFRERERERERPqsLpdVyqlTcWB/sJxyYtql2CwODMPAZnEwMeVSNpS+xq5DXsrfeooUZ2PgRbZISBsBaaMhfRSkjYL00RCT1oM9ERERERERERHpGxSO9SLJ2bkMOWcynm3VZEcfWdLcYljIjh5OdvQIIjKrSDnnaji8Bcq2g7cJDn0SuLUVlRIIy9LHtARmoyB1JDiiTnOvRERERERERER6L4VjvYhhGFx0w+2ULtyEaZoYhhHcZ5omk1IuI+3O8TAgJbDR74PKAijdAoe3ttxvCWxrLIeCdwO3I1eApPwjo8vSRwdGnCXlg8V6ejsrIiIiIiIiItILKBzrRUzTxPXPUuxWB4ZphOwzDAO7xYnrnVJibmwJxyxWSBkSuI266sjBnobAqLLDW6F0ayAwK90KDWVQuTdw277qyPG2SEgd3hKWjToy4qybSzN3bFwXXOlr+OTzu/XcIiIiIiIiIiInQuFYL+I93IhrSwUGRof7DdPAtbmCn772I2IGJpEXl0d+fD55cXmkRKYcGWnmiIaBEwO3tupLjwRlrSPNSltKM4s3BW5ttZZmBuczGx2Y38wR3eW+NdZUs/q5Z3A3NrD6+afJHjVGq26KiIiIiIiISI9TONaL2NKjiBidjGtbBfjD9/vwsTH2U/5c8zeoCd0XY48hNy6XvPg88uLyyIvPIz8un5y4HCJtkS0HpQVugy848kK/D6r2weHNbUoztwZGl3VWmpmY16Yss6VEM2lQp6WZbVfhBPA0NfH2bxbxpXvvP+H3SkRERERERESkOygc60UMwyDx6iGU7KnGdPnC9lsj7Az5r/P4iTeTgpoC9tXuY1/NPg41HKK+uZ4tFVvYUrEl7HWZ0ZnBwCw3Lpf8uHzy4vPIiM7AYrFC8uDALaQ0szFQmtlaltm2NLOqIHALKc2MCJRmprWEZq0jzWLS2LFxHbs/2Eh29AjGJ13ExxVvs+s/G9ixcR3DJ087FW+liIhIt2r8rIzqv+wh4UuDiTortaeb02+tWbOGCy64gKqqKhISEnq6OSIiInKGUDjWy1hjHCRePZTK5dvD9iVdM4yswalM4tyQ7R6fhwN1B9hXs4+C2gL21ewLBGe1+6hx11DcUExxQzEbizeGvC7CGkFOXE4wOGtbphnjiIGBEwK3turLwhcACJZmfhq4tdFoT+PtrcNxWqKYlHwZdouTc1JmUVZUxOrnnyF71FiVV4qISK/mq/dQtXIXpstH1crdOAfFY41xnLLr3XLLLfz2t7/l9ttv59e//nXIvu985zssXryYm2++mWXLlp3UdebPn89rr73Gpk2buuW47jBlyhSKi4uJj48/5dcSERERaaVwrBeKPCuFiM/alFdaIGJUcqd/qXZYHQxOGMzghMFh+6pcVcERZm2DswN1B3D5XOys2snOqp1hr0uJTOkwNBsQMwDboJkwaOaRg4OlmVtCFgAwy/ewuiAZj9dkctql2CwODMPAZnEwMeUSNpa9xts/v5Mv/dcVgbnMUoaDM6Zb3kMREZHuYJomVX/ejekJjOg2PV6qXttNyo2jTul1s7Oz+eMf/8gTTzxBZGRgegSXy8Xy5cvJyck5qXObponPFz5CvTdwOBxkZGT0dDNERETkDKNwrBdqLa98b892NprbmWKMZMqXzz32CzuQGJFIYkQi49PGh2z3+r0crD8YDMvalmlWuCoobyqnvKmcDw9/GPI6m8VGTmzoaLPW+8RRX4JRXwoeW7FnO7vv/z7Z0SPIjh4e3G4xLGRHD+dAwwh27dtO+f/7PinOxsDOhBxIHRkIy1rvU4ad0CIAIiIiJ6vps3JcWyqObPCDa3MFjZ+VndLyygkTJrB3715WrlzJ1772NQBWrlxJdnY2gwYNCjnWNE0effRRfv3rX1NcXMywYcP4yU9+wnXXXQccKVV88803+fGPf8xnn33GkiVLePDBBwGCC/osXbqUW265pcttPXjwIPfccw9vvfUWFouF888/nyeffJK8vDw+//xzzj77bEpLS0lJSaGqqork5GSuvfZaXnnlFQAWLFjAX/7yFzZu3BhWVrl//37mzp3L+vXr8Xg85OXl8eijj3LFFVec6FsrIiIiEkbhWC/VhIf37NtxN3tYb9/OeC4hhu4r4bBZbOTG5ZIbl8sMZoTsq/PUhYdmtfsorC3E7XOzt2Yve2v2woHQc8Y74wNhWWtgFptHztmTmFg1FdM0j6ymSeCD/KTky4hJriRl+MTA/GYNZVBdGLjt+kebMxuB0CxtJKSOOHKfMgwcUd32noiIiLTlq/dQ9eddHe47HeWV3/jGN1i6dGkwHHvxxRe59dZbWbNmTchxDzzwACtXrmTx4sUMHTqUd999lxtvvJHU1FRmzDjyf/wPfvADHnvsMQYNGkRERAT33nsvb775Jm+//TbACZUyNjY2csEFFzBt2jTeffddbDYbjzzyCLNmzeKzzz5jzJgxJCcns3btWq699lreffddkpOTeffdI4v9rFmzJqSdbd155514PB7effddoqOj2bp1KzExGmUuIiIi3UvhWC9kmiarVq3C420GwOP18Le//Y05c+acluvHOmIZmzqWsaljQ7b7TT8lDSUdzm1W0lBCjbuGT8s+5dOylnnHTPip99vBcsq2WssrJwy/C24ZF9jYUAFl26B0W8tiANsDzxsroHp/4LbzzbZnCaycGRKaDQ+EZvbIU/b+iIhI/9e+nDJsv/vUl1fedNNN3Hfffezbtw/DMHjvvff44x//GBKONTQ08Pjjj/POO+8wefJkAAYNGsT69etZsmRJSOj00EMPcckllwSfx8TEYLPZTqqM8Y9//CMWi4Xf/OY3ISPQEhISWLNmDZdeeinTp09nzZo1XHvttaxZs4abb76Z3/72t2zdupVhw4axYcMG7r777g7PX1hYyLXXXsvYsWODfRMRERHpbgrHeqEtW7awffuRCflN02Tbtm1s3ryZMWPG9Fi7LIaFATEDGBAzgCkDp4Tsa2xupLCuMCQ4cxXXMrlxHBidn8+7s47/Xv5NHOnRwZFsOTnjyB1zFamRqYEP2g3lbQKzNvdNlUdWztzxxpETG5ZAaNa+PDN5KNgjuvU92bFxHe8sXcKF37iD4ZPP79Zzi4hIz/Eebgwtp2zPDJRXNh9uwJ5+akr/U1JSuPLKK/ntb3+LaZpceeWVpKSkhByzdetWXC5XSOgF4PF4GD8+dEqFSZMmdXsbP/roI3bv3k1sbGzIdpfLxZ49ewCYOXMmzz33HABr167l4YcfpqCggLVr11JTU0NTUxNTp07t8Px33XUX//3f/81bb73FxRdfzLXXXstZZ53V7f0QERGRM5vCsV6mvr6eVatWdbhv1apV5OXl9cpygih7FCOSRjAiaURwm2maVHi24tpaCWb4a3z42Bj7Kes974eVaAJE2iIDYVlsTuA+KYfcvEnkxuWS6EjAaGwTmrUdadZUBZV7A7cdfztyQsMCSYNCSzNTR0DKULA5u9znxppqVj/3DO7GBlY//zTZo8Zo5U0RkX7Clh5FxOg2i+O0Z0DE6ORTFoy1uvXWW5k7dy4Azz77bNh+vz/QuL/97W8MHDgwZJ/TGfp/W3R097fV7/czceJEXnrppbB9qamBOdlmzpzJ9773PXbv3s3mzZuZNm0ae/bsYe3atVRXVzNx4sSwcK3VN7/5TS677DL+9re/8dZbb7FgwQJ+9atf8d3vfrfb+yIiIiJnLoVjvUhrOaXb7e5wv9vtZtVrr/FfN954mlt2YgILCwylZM+HmK7wshRbhIOpt17FYv9E9tfuZ3/tfgprC9lfu59DDYdo8jaxvXI72yu3h7021h5LTlwOOXGB4Cx31EXknnsrObE5xDe7Wsozt4feu2qgYnfgtr1NAGlYA6FZ21FmqSMheQjYOp5LxjRNVj//LGmWHMZnX8gnVf/k7d8s4kv33t9t75+IiPSc1sVxSvZUd/h/mOG0kfjlIae8HbNmzcLj8QBw2WWXhe0fNWoUTqeTwsLCTuft6ozD4TjpVSsnTJjAihUrSEtLIy4ursNjWucde+SRRzj77LOJi4tjxowZLFiwgKqqqmO2Ozs7mzvuuIM77riD++67j+eff17hmIiIiHQrhWO9SGlpaUg5ZXumabJ9927+c9ks0lNTcQwahCM/H0d+Hs5Bg7APHIhhtZ7GFh+bNcZB4tVDqVwe3q/Ea4YSlZlKNnmcPzC0JLHZ10xRfVFoaFYXeFzSUEJdcx1bKrawpWJL2HkTnAltSjRHkTvmcnJis8m1RBJdtb9deeZ2cNdAxa7Abdtfj5zIYoOkwS1h2YgjI86Sh7Dj/Y0c+OhTrsj6FnaLk0lJl/HGh8+zY+M6hk+e1u3vo4iInH5H/z9syCmdjD/YBquVbdu2BR+3Fxsby/e//33uvvtu/H4/559/PrW1tWzYsIGYmBhuvvnmTs+dl5dHQUEBmzZtIisri9jY2LDRZq2amprYtGlTyLaYmBi+9rWv8eijj3LVVVfx0EMPkZWVRWFhIStXruR//ud/yMrKwjAMpk+fzh/+8Ifg3GJnnXUWHo+Hf/7zn3zve9/rtI3z5s3j8ssvZ9iwYVRVVfHOO+8wcuTIY71tIiIiIl2icKwXSUtLY8SIEezYsQPTDK9DNPx+Bh48SOz+/TTu30/jhx+G7rfbsefm4MxvDc3ycQ4K3Fs7+Wvu6RB5VgoRn7UpTbFAxKhkos5K7fQ1dqud/Ph88uPzw/a5vC4O1B0ICcxaA7SypjKq3dVUl1UfWRigjZTIlECZZnIuOfnXkxebS441ipzGWiIq97aEZjsCwZm7Fsp3BG68HjxHoz+Ct3dPZGLKNcHFBmwWBxNTLmX188+QPWqsyitFRPqJE/k/rLt1NiKr1cMPP0xaWhoLFixg7969JCQkMGHCBO6//+ijma+99lpWrlzJBRdcQHV1NUuXLuWWW27p8NidO3eGzWE2Y8YM1qxZw7vvvssPf/hDrrnmGurq6hg4cCAXXXRRSLsvuOACVq5cycyZM4HAyLxp06axatUqzj+/8zk7fT4fd955J0VFRcTFxTFr1iyeeOKJo/ZLREREpKsMs6MUpg+qra0lPj6empqaY36I7M3q6+t55plncLlcYfsiIiL4zje+gb20DE/BXtwFBXgK9uHZuxfP/v2YnZRjAliTk3G2BGaO/Hwcg/Jx5ucHRpvZTn1G6qv38N5jq9hobmeKMZIp37/ylPzFvXVhgNbArDU0K6wrpNJVedTXpkelkxeXFyjVjM0hxxZDrsdNVm05joqdULods3QHfynIwuOfyuS0L4edY0Ppa0TE7eFLs8dBynBIHRZYPdPZ8VwqIiJy6rhcLgoKCsjPzyci4sQXZPHVeyh5LDBFgBFhI+P7E0/LqDHpmu76eouIiEj/0JWcSCPHepmYmBhmz57Nq6++GrZv9uzZxKWnQ3o6kWNDV600/X6aDxXjKdiLp6AgEJztLcBTUIC3tBRfRQWNFRVHGW2WjyMvH8egQTjz8wKjzeLju61fTXh4z74dd7OH9fbtjOcSYuj+Xyw6WhigVa2nNjinWXDUWc1+9tftp85Tx+HGwxxuPMz7Je+HvM5iWMiMziQ3bwi5mecRt3kXV2TNwjTN4LL1ECh7nZQ8izeKnqf8n0tIcTYeOUncwEBIljq8zf1wiE4Bo5PlPEVEpFewxjhIvGYo1X/ZQ8KXBisYExEREelnNHKsFzJNkxUrVgTLKw3DYMSIEcyZM+eEzuerrw+MMNtXgHvv3sDjggI8+/Ydc7SZIz+vTZlmm7nNujDarLv7091M06TaXR0IzeoK2Vezj8K6wmCQ1uhtE3L5YeGWuQy1jsBiWMLO5Tf9lBoFJE3eSFZVEY6yndBQ2vnFIxNbRpgNPxKYpQ6DuCywhJ9fRESOn0YSnVn09RYREZG2NHKsjzMMg9mzZ7Nv3z5cLhdOp5Mrr7zyhM9njYkhcuyYo4w2Kwgr02wdbdZUUUHThx+FntBux5GTE5jPLK/d3GYdjDbbsmVLyEIDpmmybds2Nm/ezJgxY8KOP90MwyAxIpHEiETGpY0L2WeaJhWuimBgVnXgMMN3jOr0XBbDQgaDuf3wyxxwlpCZP4js6Clk22LI9kOOq5HsunKyy/cRVX0AmqrgwL8Dt7bsUZAytE1pZkt4ljQIrPZT8C4csWPjOt5ZuoQLv3EHwyd3Pg+MiIiIiIiISH+gcKyXai2v/Pvf/84VV1xBTExMt1/DsFhwZA3EkTUQpoWGIL76Bjz79oWXabaMNvPs2YNnz56wc1qTkoLzmTny8vFmDeSv7Uo5W61atYq8vLxT0rfuYhgGKZEppESmMCljEuYQk4qD22jaWo5hhpdD+vHzWdIeyqNrML0mhxoOcajhEO+3PzARUjLHkRORQpYlghyvn+ymWnJqSsiu2E98cyMUfxq4tWWxBQKytqWZrfOaOaJPur+NNdWsfu4Z3I0NrH7+abJHjdHiAiIiIiIiItKvqaxSusT0+/EWF+Numc/MXXCkTNN7+HDoscB7U6dwaOBAzA5KBA3DYFheHv91000YfaiEsHViZr/Li0GbOccwsUTYyfj+RCzRdipcFRTVFQVLNA/UHQjeqt3VR71GnD2GHEcC2djJbm4mp6GK7OpicppqSfb56XCWsvjsltBsROhos6ik4+qXaZr85Vc/x72tmvGJF/JJ1T+JGJXEl+49+mpnIiK9lcrsziz6eouIiEhbKquUU8awWLAPHIh94NFGmwXKNIv37+dgbOerNJqmyY6CAv4zYyapCQk48nJx5OZiz8nBkZuHIy8XW2pqrwvOrDEOEq8eSuXy7SHbDQwSrxkSnKi5dcRZ+1JNgBp3DUV1RRyoOxAWnpU1lVHbXM/m5no2t77ADqTGAXFEWhxk22PJ8VvI9rjIrisnp6Ga7IZDpNccwLrnn6EXi0pptxBAy33cwJDFAHZsXMeBjz7liqxvYbc4mZR0GW98+Dw7Nq5j+ORp3fb+iYiIiIiIiPQmCsek21hjookcM5rIMaMBSDFNtraZiL89wzQZePAgcWVluMvKcO/aFX5MRASOnBwcubk4cnOw5+a2PM7FlpYWslrk6RR5VgoRnyXTtLUCwwTTgMjRyUSdlXpcr493xhPvjGd0yuiwfY3NjRTVF3Gg9kAwPGsNzoobimnye9jprmAngAHEOSEuHQC7YSXLEkm2z0+Oq4GshipymuvJOfg+A/a/R8hsZY6Y4LxmjdF5vP3yB0xMuQKbxYFhGNgsDiamXMrq558he9RYlVeKiIiIiIhIv6RwTE6Z9gsLtOeMjOS/HnsMR3U1nsJCPPv249m/P/B4/36aDx7EdLlw79yJe+fO8PNHRgaCs5yc4KizwMizXGxpqac0ODMMg8Srh7B1z3Y2mtuZYoxkypfP7ZZzR9mjGJY4jGGJw8L2NfuaOVh/MCQwax11VlRfRLPfS4GvngKACAMijpRUWoBMHOR4vWQ31ZHj8ZBVvZ3s0s1s3jeEdOtUsqOHHznesJAdPZwDDdt5++n/5Uv3/hgiE7qljyIiIiIiIiK9hcIxOaVaFxZ49dVXw/bNnj2bmIQESEjAkZcH00P3m83NNB88GAjM9u/Hs78w+Lj54EHMpibcO3bg3rEj7NxGVNSR4Cw3NxCe5QRGntlSuyc4a8LDe/btuJs9rLdvZzyXEIPjpM97NHarnbz4PPLi88L2+fw+ShpLgoFZcL6zusDjJm8TB/Fw0AYbY6OBwAT+CXV25jTkcEXWLEzTDHlvTNNkUvJlvLHlecofGklKUkygLDNlSOA+eWhg9FlCDlisp7TvIiIiIiIiIqeCwjE55UaPHs3mzZuD5ZWGYTBixAjGjBlz1NcZdjuOvLxAcNaO6fHgaQnOmtsHZ4cOYTY24t6+Hff27eHnbQ3OgiWaRx5bU1KOKzgzTZNVq1bh8TYD4PF6+Nvf/sacOXOO7005BawWKwNjBjIwZiDnZZ4Xss80TcqbykPmOAuGZ7ZCRg68KFhO2VZreeWogRfynfxPyfJ6yardTFblJrK2eMn2esnwerFbnZA8GJJbQrOUoS3B2RCIiD+db4OIyCmxefPm4ArSo0eHl8RL95g/fz6vvfYamzZt6ummiIiIyBlE4Ziccu3LK51OJ1deeeXJndPhwJmfjzM/P2yf6fHgKTqIZ/8+mltKND37AuWaxwrOLFFRIfOatS3ZtCYnB8OjLVu2sL3N603TZNu2bWzevPmYoV9PMAyD1KhUUqNSmZA+IWRfc0kDhz//uNPXWgwLw2yjaSCX1dHFYfutpkmG10e2t4ys0mKyDv2L7GZvIEjzeomLSmsZZdYmOEsZGlhd8zSNNtuxcR3vLF3Chd+4g+GTzz/2C0RE2qivr2fVqlW4XC7++te/kpubS0xMzCm73i233EJ1dTWvvfZayPY1a9ZwwQUXUFVVRUJCwklfZ+bMmYwbN46FCxd2y3Hd4fvf/z7f/e53T/l1RERERNo6oXBs0aJFPProoxQXFzN69GgWLlzItGkdr2a3cuVKFi9ezKZNm3C73YwePZr58+dz2WWXBY9ZtmwZ3/jGN8Je29TUpKW4+4nW8srWv7qfyl8qDIcD56B8nIPCgzO/x0NzUVGbUs0jI8+aDx3C39iIe9s23Nu2hb3WEh2NPTcHX14ef+lkGdhVq1aRl5d3SvvX3WzpUUSMTqZpazmGGT5qzjRMzKGR/OCSH1NUXxRcZbOoroii+iLcPjcH7TYO2m0QGX7+eJ+PLM9Osgu3krXXS1ZzYMRZlt9CekI+1pShoSWaKUPB2fkqp13VWFPNlt++ycVxX+Pz371B9qgxWlxARI5b60hht9sNgNvt7vGRwv1ZTExMn/o/VERERPqHLodjK1asYN68eSxatIipU6eyZMkSLr/8crZu3UpOTk7Y8e+++y6XXHIJP//5z0lISGDp0qV88Ytf5P3332f8+PHB4+Li4tjRbu4oBWP9y5gxY3p8VJXF4cA5aBDOQYPC9vk9HpoPHGhTotky8mzffpqLi/E3NODauo33EhNpjokBiyXsHO6mJv70q8f54pDBOLKzsWdlY88aiMVxauciOxmtiwu491Tjd3kxaDPnGCYWp52M688mJya8D37TT3lT+ZHArL5NcFZXRIWrghqrlRqrlS1OZ9jrbWYdA2v/Q1bFBrK83iMjzhwJZCUMIjplxJHALLl1tFn4+94Z0zT515LnGBc7E7vFybiYC1jz3PNc8T//c2JvloiccXr7SOENGzbwox/9iA8++ICUlBSuvvpqFixYQHR0YF7JRYsW8cQTT3DgwAHi4+OZNm0ar776Krfccgtr165l7dq1PPnkkwAUFBSQ18FUBifThqeffprnnnuOzz//HIDXXnuNq6++mmeeeYY777wTgMsuu4wJEyawYMGCsLLKNWvW8IMf/IAtW7Zgt9sZPXo0L7/8Mrm5uSf/5omIiIi06HI49vjjj3PbbbfxzW9+E4CFCxfyj3/8g8WLF7NgwYKw49sPwf/5z3/O66+/zl//+teQcMwwDDIyMrraHJFuY3E4cA4ejHPw4LB9freb5qIiDm3dysGPPur0HKZhUGD62fnkU8TX1gY2Gga2jAwcWVnYc7KDoZkjJxt7djbWhIRTurLm8bDGOEi8eiiVy0NLTQ0MEq8ZgrWDYAwCJZdpUWmkRaWFlWsCNDY3ho02O1B/gIN1RRTVHcSLl/12O/vt9g7OfoCk0n1kHVx1JDjzG2RFZ5CdMJjUlFFYUtvMb+YMH2mwY8M6kg4kYYtyBOdPSyxMZMfGdQyf3PFoVxGRVq3llB3pDSOFP//8cy677DIefvhhXnjhBcrKypg7dy5z585l6dKlfPjhh9x11138/ve/Z8qUKVRWVrJu3ToAnnzySXbu3MmYMWN46KGHAEhNTe32NsycOZPvfe97lJeXk5KSwtq1a4P3d955J16vlw0bNnD33XeHndvr9fLlL3+Zb33rWyxfvhyPx8N//vOfHv8/U0RERPqfLoVjHo+Hjz76iB/96Ech2y+99FI2bNhwXOfw+/3U1dWRlJQUsr2+vp7c3Fx8Ph/jxo3j4YcfDgnPRHqSxenEOXgweYMGMaKhIbi4QHsGkGdYGHjOOYFRaEVFmI2NeIuL8RYXwwcfhJ87Ohp7dktolp2NIzsLe3ZO4D4zE+M0jTqLPCuFiM+S2bJ9K/+27WSydxijRo4i6qyu/7LUKsoexbDEYQxLHBa2z+f3UdpYGjba7EDtPorqDlDdXE+l1Uql1cpntB111giuz3EUfsbAvS0lms1esqxRZMdkkpUwhIGpYzCj8tj2+42ck3B58JUWw0J29HD+87s3yR41VuWVItKp9uWU7Z3q8spVq1aFBW8+ny/k+aOPPsoNN9zAvHnzABg6dChPPfUUM2bMYPHixRQWFhIdHc3s2bOJjY0lNzc3+NkqPj4eh8NBVFTUSf1x8lhtGDNmDMnJyaxdu5Zrr72WNWvWcO+99/LEE08A8MEHH+ByuTj//PD5IGtra6mpqWH27NkMbvnD1ciRI0+4rSIiIiKd6VI4Vl5ejs/nIz09PWR7eno6JSUlx3WOX/3qVzQ0NHD99dcHt40YMYJly5YxduxYamtrefLJJ5k6dSqffvopQ4cO7fA8brc75ANrbesoHZFTqP3iAu05IyK4du7c4C80pmniq6jAc+BAYK6zAwdoLjyAp+gAzQeK8B4+jL+hodMFArBYsGdkYM9pCctaR5xlBUI0azdMyNy2b45LM3lvz0o8ppf19u2Mu+Sibjt/e1aLlcyYTDJjMjkn45yw/XWeuuC8ZgfqDlBUW0hR1W4O1B2g2F2FxwIFDjsFjrajzkqhuhSqNvDlj3L4Ruy84AqprUzTZFzMTNYsfpYrfvTjU9Y/EenbSktLQ8op22strywtLSUtLa3br3/BBRewePHikG3vv/8+N954Y/D5Rx99xO7du3nppZdC2uX3+ykoKOCSSy4hNzeXQYMGMWvWLGbNmsXVV19NVFRUt7XzWG0YOXIk06dPZ82aNVx00UVs2bKFO+64g8cee4xt27axZs0aJkyY0OEIvKSkJG655RYuu+wyLrnkEi6++GKuv/56MjMzu639IiIiInCCE/K3H87e/pfPzixfvpz58+fz+uuvh3yQPO+88zjvvPOCz6dOncqECRN4+umneeqppzo814IFC3jwwQdPpPkiJ6V1cYFXX301bN/s2bNDPuAbhoEtJQVbSgp0MBLS73LRfPBgIDQ7UITnQCHNB4poLjqA50ARpstF86FDNB86ROO/w9tiiYsLlGu2H3GWnR0YdWY7/h9x0zR541//oNkIjExoNnz8fc1bPTbpdKwjlpHJIxmZHD5KwOv3UtxQfCQ8q9xFUeXOQAmnqxJrLVzB1dgsjrB/m4LllQfTufvxs0lPjCQrKoOshHwGpoxiYOYkolJHgl1zHoqcydLS0hgxYkTnI4UNgxEjRpySYAwgOjqaIUOGhGwrKioKee73+7n99tu56667wl6fk5ODw+Hg448/Zs2aNbz11lv89Kc/Zf78+XzwwQfdstrl8bQBAqtdPvfcc6xbt46zzz6bhIQEpk+fztq1a1mzZg0zZ87s9PxLly7lrrvu4s0332TFihU88MADrF69OuRzo4iIiMjJ6lI4lpKSgtVqDRslVlpaGjaarL0VK1Zw22238corr3DxxRcf9ViLxcI555zDrl27Oj3mvvvu45577gk+r62tJTs7+zh6IXLyRo8ezebNm4O/NLX+ktTVyZktERGdznNmmibesjKai4oCJZqFB4KhmedAIb6ycvy1tbi2bsW1dWv4ya1W7AMGhI04s2dn4cjJwRobuiJkb590ui2bxUZ2bDbZseE/86ZpUll4mKbFnf/70VpeuTMmnbctxeDaAyV7oORt2AzJXh9ZWMmyxZAVlU5WXB5ZKaPIypxIWvpZWKwdzZEmIv3JMUcKO51ceeWVPdCyIyZMmMCWLVvCQrS2bDYbF198MRdffDE/+9nPSEhI4J133uGaa67B4XCElWqeija0zjv26quvBoOwGTNm8Pbbb7Nhwwa+973vHfUa48ePZ/z48dx3331MnjyZl19+WeGYiIiIdKsuhWMOh4OJEyeyevVqrr766uD21atXc9VVV3X6uuXLl3PrrbeyfPny4/ogaZommzZtYuzYsZ0e43Q6cXaw+p3I6dD+l6ZT8UuSYRjY09Kwp6XBhPDJ7v2NjS2jzopoPlDYcn8gWMJptqy+2XzgALAx7PXW+PjAiLOcbJoHDOSvjQ0dtqM3TDrdFYZhkJSTTumww7h3VGMxwle39Jt+GnO93DxuFkWVOwIj0FzlFPmaqDNMKmxWKoBPqYfGemjcAyX/hM1gN00GmhYGWmPIikwlOy6HrJSRZGVMYGDKaGKcseGNOgV2v7oO/tMIX4hiyHVaXEDkVOjKSOGe8MMf/pDzzjuPO++8k29961tER0ezbds2Vq9ezdNPP82qVavYu3cv06dPJzExkTfeeAO/38/w4cMByMvL4/3332ffvn3ExMSQlJSEpZMVgcvKyoIrSLbKyMg4ZhuA4LxjL730Eq+//joQCMzuvfdegA7nG4PA6pnPPfccX/rSlxgwYAA7duxg586dfP3rX++Ot09EREQkqMtllffccw833XQTkyZNYvLkyTz33HMUFhZyxx13AIERXQcPHuR3v/sdEAjGvv71r/Pkk09y3nnnBUedRUZGEh8fD8CDDz7Ieeedx9ChQ6mtreWpp55i06ZNPPvss93VT5Fu1/pL09///neuuOKK0/5LkiUqCufQoTg7mJfP9PsDo87ajThrLizEU1SEr6ICX00NvpoamjZv5r2pU/AMHAgd/FLkbmpi5VNPcdXo0dgHDsQ+cCC2tDQMq/V0dPOEGIZByvUjOfR//8ZsDp9zzHBYGPr1aYyICZ9TrcZVQ1HZ5xws+YSiyu2Buc6ayinyNVBs+Gk2DPYZJvvMOmisg8a9ULIGNgden2gaDLRGkRWRQlZcNllJI8hKH0dW0hDSo9KxWU6omj1E/aFyLP9xYzciaf6Pi/op5cQMSDnp84pIuO4aKXwqnHXWWaxdu5Yf//jHTJs2DdM0GTx4cLAcPiEhgZUrVzJ//nxcLhdDhw5l+fLljB49GoDvf//73HzzzYwaNYqmpiYKCgrIy8vr8Fovv/wyL7/8csi2n/3sZ8yfP/+obYDAv8kzZszgtddeY9q0acG2x8fHM2jQIOLi4jq8ZlRUFNu3b+e3v/0tFRUVZGZmMnfuXG6//faTfetEREREQhhmRxNpHMOiRYv45S9/SXFxMWPGjOGJJ55g+vTpANxyyy3s27ePNWvWAIG/DK5duzbsHDfffDPLli0D4O6772blypWUlJQQHx/P+PHjmT9/PpMnTz7uNtXW1hIfH09NTU2nH7JEJMDf0ICn6CDNBwop3rOXl4sPHfM1s974O/GtC1/YbNgzM1vCsgGBec9agjP7wIHYUlN7RXjW8GkpVct3hG1PumHECa3C6fW6OVzyCUUln1BUvo2i2n0cbCqjyFtPkeGj6hh9tpmQaY0kKyKZgTEDyUoaTlbqaLLic8mKySLeGX/MNvj9frbMf514dxIWw4Lf9FPjrGTsQ1cf87UiZxqXy0VBQQH5+flERJz4PIL19fU888wzuFwuIiIimNtm4RXpPbrr6y0iIiL9Q1dyohMKx3ojhWMiJ8Y0TVasWNH5pNNAnt/PzAMHaC46SHNxMXi9Rz+p3d4Sng3APnAgjjbB2ekMz0zTpHTpZ2zbvZP37bs4zzOUEcOGkf6Ns7v/Ys1N1Jdu5mDxRxSVb6WoZh8HGg9T1FzLQcPkoN1G8zEWLok17GQ5E8mKGUhW4pBAeBabTVZsFpnRmditdna/8i4RH4WfxzUJlVeKtNOdYcnmzZuDI4VbR15J76JwTERERNrqSk508vU9ItKnHXPS6YgIrm0zSsL0+fCWltJ88GBgzrOW++aDhwL3xcXQ3ExzYSHNhYUdX9Ruxz4gMyw0CwnPOpn3pqt9i7wyhw2L/ooHL+85djD+iqMvCHLC7JHEDDyH4QPPYXj7fY2V+Mt3UVqyiaLyLRRV76WosYQiTw1FVoMim40Km5U6s5ltrlK2uUqh/JOQU1gwGO0ZwCO77sU0nGGlopb/uFVeKXIKjRkzpleUUoqIiIhI91M4JiJdmnTasFoDo8IyM2HSpLDjw8KzoqIjwVnb8Gx/Ic37Ow7PDLsdW0h41r5sM+W4wjPTNHnjX/+g2eIDE5oNH39f81bIXDinRVQSlpxzycg5lwwg+K75/VBXDBW7aSzbyqGyLRRV7aaooZii5lqKbNaWmw03Fm7bcTU2qyMkGINACGjDwUcLX+P1yz4jKz6PrNgssmKzyI7JJiMmA7tFK2yKiIiIiIh0ROGYiADdN+n0McMzrzcYnoWNOmsJz8zjCM/sAwZ0OOqsbXi2ZcsWtm/ffuTapsm2bdvYvHlz7xgBYrFA/ECIH0jUoBkMAYa07vN6oHo/VOzGLNvJ7i37ibSN6vxUhoXBxnCKP1vJ6qR/heyzYiEjMoWsuFyyW+Y3y4rNIrulZDPOoVJ0ERERERE5cykcExEgvLzS6XRy5ZVXdv91bLZAsDVgAFHnnBO2vzU8Cxtx1norKcFsbsazfz+e/fs7vobDgTcnh79MGA+GEbi1sWrVKvLy8nr3hNo2B6QMhZShGMMvZ/CU0In42/Obfkq9W7nS/Iyza2wU2W0csNk4aLPitsDBplIONpXy/uEPwl4bb48JzG0WlxMIzGKOBGfpUelYLadncYXGz8qo/sseEr40+IQWTBDpTD+ZXlWOQV9nEREROVGakF9EQvT2SadNrxfv4cMto846Cc98Pt6bOoVDAwdidlB+afj9ZFVUcFFVdWCU24BMbJmZ2DMCj+2ZmVji4sLKF3ta/aFyShduwm44wuYcazbdpM0bT0yiFSr3QsVeqNyDv3w35VW7OFB7gCLTRZHNxgG7LXhfeawVNg0bA2MGBBcGaA3PWss2o+3R3dI3X72HQ//3PjSb4DAY8MNzscY4uuXccuby+Xzs3LmTtLQ0kpOTe7o5copVVFRQWlrKsGHDsPaCFZNFRESkZ2m1SoVjImcs0+vl4NZt/Gbln4557Kw3/k58bW2H+yxRUdgGZGLPHBAM0OyZLSHagAHY09IwHKc/vGldrXKv5TAb7TuZ3DyMQf7041utsrESKvZA5Z6WAG0PjZW7KarZz4GW4OzIiLPAY+8xAsIkZyJZcaGjzVofp0aldjjKrb3WVUXdO6qxGBb8ph/niIRTs6qonHGKi4uprq4mLS2NqKioXhd6y8kzTZPGxkZKS0tJSEggMzOzp5skIiIivYDCMYVjImc00zRZsWJFcP609gzDYGhmJrNzcmkuLqa5+BDe4mKaDxXTXFyMr7Ly2BcxDGypqYHArF2IZsvIwD5gANaEhG7/Rdzv9/PR/FdZbezEgxcHNi4xh3HOQ9ef+ElNExorjgRnLfe+it2U1uynyHRzoCUsazvyrPoYIzOcVicDYwaGBGato88GxgwkwhYBQMOnpVQt3xH2+qQbRqi8Uk6aaZqUlJRQXV3d002RUywhIYGMjAwFoCIiIgJ0LSfSnGMi0u+0nz+tPafTyZduuKHTOcf8LhfNxcWBwKxNaNZcfAhvy2PT48FbWoq3tBQ+/bTjdkREBBcnsLWMPLNnDjgyCi0jA4vT2eW+7RjkornACwY0m152DnYRPntbl04K0SmBW865wc1WINM0yawv5ZzKvSHBGRV7qavaSxGekMCsdeRZsc2G2+dmb81e9tbs7fCyqZGpjHAO5d73r8dh2sNKRSte2Y5zULzKK+WkGIZBZmYmaWlpNDc393Rz5BSx2+0qpRQREZETppFjItJvbd68mVdffTVs+3XXXXdSq1WapomvspLm4pKwUWetIZqvrPy4zmVNSQkGaCHzn2UOwJ6ZgTU5OSQ0OlV9OiGmCXUl7UKzQMmmt3IvJTS3G3FmDwRoNht1VguY8NPCb3Nuw1mdLjKwN/UQn15YSk5sYLGAnLgcUiNTNTJERERERESOSmWVCsdEhPDySsMwGDFiBHPmzDnl1/Z7PHhLSkJHnbUL0cympmOex3A4sGVmYM8cgDczkxURTjwd/LMdERHB3Llze88KnH4/1BWHjTajcg9mZQG1ZjMHGURc48Jjnur2QQ9T6CwOPo+wRpAVm0VObA45cUdCs+zYbDKiMk7b6poiIiIiItJ7KRxTOCYiLerr63nmmWdwuVy9KkAyTRNfdXVY6aa3pM3j0tLA6CzAhKOvwGma5DQ1cZndjj09A1t6OvaM9MD8Z+npWOLje89oK78Pag9Stvl9dq+oYWDU0E5Hjh1s3MU7Ax+lMN7HAbuNQzYbvqP0w2axkRWTRU5cDjmxOSEh2oCYAdgt9lPZsxCNn5VR/Zc9JHxpsOZOExERERE5zTTnmIhIi5iYGGbPns3f//53rrjiil4RjEFgHiRbYiK2xEQiRo3q8BjT46G5tAxv8SGK9+7l4LZtnZ7PNAz2R0VR2MkKnEZEBPb0QFhmS08LBGgZ6dgzMrClZ2DPSMealITRQfDW7SxWSMghZWo2/9nwKOllHuwWJwXW0uAKnPm+NLx+D1VRG/lx3iSoLICSvTR7myi22Si02yhsmevsgN1OYUv5ZrPfy77afeyr3Rd2WathJTM6M2SkWWtw1naBgO7gq/dQ8f+2Q7PmThMRERER6e00ckxEpA84nhU4B8fGMSsqkuaSErwlh2k+fBhvSQm+qqrju4jdjj01NTDaLCM9GJrZ0lsCtYwMbKmpGLbu+7tKY001//jho4xJuJBXnBuDK3B+xT2Zz2veYdb//Q9R8QmtbwLUH4bKvW1uBcHHPncth21WDrSEZwds9kCI1jLnWdMxgr/0qPTgiLPs2OyQEC3aHn3cfTJNk9Kln+HeUY3FsOA3/ThHJJD+jbNP4p0SEREREZGuUFmlwjER6Yfaloi2d7SSUb/bjffwYbyHD9Ncchjv4ZLQ+5ISvOXlwRLOo7JYsKWkBMs1g+WbrUFaRga2tLQurcK5bf1a/vW3jZQ5XJgGGCakeiK46EtTGT552vGdxDShsTIQlFUVtAvQ9mI2VlButVDYEpgdaFlVMxCe2ak/RnCWHJEcDMrajjjLjs0m3hkfcmzDp6VULd8Rdo6kG0aovFJERERE5DRRWaWISD/UWiLa0WqVs2fP7rRk1OJ04sjJwZGT0+m5zeZmvOXlgVFnhw+3GX1WgvdwaWBxgdJS8HrxlpbiLS0lPKI7wpqYeCRAa1e+aUtPD8yDFh0YjeWNT6LUeeRspgGlThfNsYnH98YAGAZEJwdu2eeE73bVkFpZQGrlXia2jjhrCdHMuiKqLZZgqWZRS2DWWrZZZbVS4aqgwlXBJ6WfhJ07zhEXGG0Wl80Q+yAuWTUcm2kNmePNNFVeKSIiIiLSW2nkmIhIH9KTK3Cafj++iop2o89aArSSI/em231c57PExuLNGsjrY8fiMYxAwNVGhNPJ3DvvJOZU/5vuaYCqfWFlmlQWQM0B6gw40BKYHRltFijVLG1bYmrCTwu/zbkNZ3W6wEB1thv/9WnkxuWS4EzoPYskiIiIiIj0MyqrVDgmIv1Yb12BE9qswtlRGWdJSXAeNH9Dw7FX4PT7GXjwEDN27sSWlha4paa2PE4NPranpQUWE7Bau79DXjdUF4aVaVK5F6oLaTR9FLWMMKsgjymVjwZfutdyOLjAwCB/enD77YMeptBZTKwjlry4PHLicsiNzSU3LnDLicsh1hHb/X0RERERETmDKBxTOCYi/dzmzZuDK3COHj26p5vTZb76eoq3b+c3q1Yd89hZnazAGcJqxZacfCREaxeetT7u1hU5fV6oORAMy8p2b2P3xlEMjBqK2/CGLTDgNG0cbNzFL4Y8xZ6Eo//XmxSRSG5cHjmxOcHQLDcul+zYbKLsUd3TfhERERGRFo2flVH9lz0kfGlwv5knV+GYwjERkV7veFbgHJafz5cnTAzMc1ZWFpzvrPV5c1kpvvKK41tMAMBmCywo0G4Emj0YqgWCNGtiYpdDNNM0eePRRxlRNo53I3ZSaCkPLjCQ609lumso212/5oqBH9HkrgmWaO6zBxYJ2G+3sd9mp8J29BFwaZGp5MaHB2dZsVk4rce/EMKJ2P3qOvhPI3whiiHXHediCSIiIiLSq/nqPZQ89iGmy4cRYSPj+xP7xTy5CscUjomI9AknugJnW6bXi7eisiUwaw3PyvCWldIcDNXK8FV0MURLTQ0Pz4KhWuBmTQidN6yxppo//uwxChPC17vJqfbyXw9+n6j4BGiqapnnrCBwX9VyX7mP+rqDFNosFNrt7LPbKLTZ2d8yz1n1UUpHDQwyo9LJjc8PlGq2Cc4GxAzAbrEfX987UX+onNKFm7AbDppNN2nzxhMzIOWkzikiIiIiPcs0TSr+sA3XtgrwAxaIGJVMyo2jerppJ03hmMIxEZE+Y/PmzR2uwHndddcxZsyYbruO2dyMt6IidARaWVkgQAsGai0h2vGy27GlpmBPDYxCa05J5SXTh9c0oO1c+ybY7Ta+N2/eseeH83payjUL2oRmgfua6n3sN5rZbwssELC/ZcRZod1O/VFGulmxMDA6g9yEQYFyzTbhWUZUBlbL0Uer+f1+tsx/nXh3EhbDgt/0U+OsZOxDVx//eyUiIiIivU7jp2VULt8etj3phhF9vrxS4ZjCMRGRPqMnV+DssD0eT0iI1twmSPOWlgUf+yorQ1/HsRcYyK6t5eKGxsD8aKkp2FJSsCYH7m0pydhSUrDEx3e+iqVpQn3pkdFmLaGZWbWXyur97PdUB0eZ7bfb2d+yWEDTUYIzu2ElOyqD3ITB5CYMIicuJ7BQQGwOaVFpGIbB7lfeJeIjI2yRAdckVF4pIiIiZ6T+MEeXt87N4V99hOnyhe3rD+WVXcmJwus+RERETiPDMJg9ezb79u3D5XLhdDq58sore649Dgf2zEzsmZlHPc70ePCWlwdHnx0+cICDhYWdH2+xUJiQwKENG4++wIDdHgjPkgNhmTUlGVtKartALQ3boFFYzorBMAwMIBlI9jQwoWpfm9FmBZiVBZRWF7C/8TD7bQTLNPfb7Ryw22jGx96Gg+xtOAgH3w1pSqTFzln+fO7fcgeNhsF6+3Y8eFlv306GKwHbf0zqp5SrvFJERETOKL56D1Urd2G6fFSt3I1zUHyPh0imaVLfXE+1q5pqdwe3lu017hqq3FVUu6q5Y/fVfME1BivhVQSm20vVa7v7RXnl8dDIMRER6RX6+gqcx7PAwJDkZK7MHBAI1SrK8ZWX4y2vaHlegb+mpkvXNByOlgCtZfRZS4BmTW4J1FJTgiGbJTICag+GzHPmq9hLSc1e9tcfYr/pDo44K7TbKLLZ8JkGC7fMZYh1OP9ybGG/pSxkkYELPWMoZA+brq8lN2FwoFwzNpeEiITueVNFREREepnTMUeXz++j1lN7JMxyVYUEWzXuGqrd1VS5qoLbat21eE3vcV8j15XJrwt+cszj0u+egD09+mS602M0ckxERPqcMWPGdOscY6db+xFw7TmdTq665Zajzjnm93gCgVlFBd6yjgK0cnxl5XjLy/E3NGB6PDQfOkTzoUPHbl9kZAcB2rlEpVzJ2EHJjI9xYLU1YjOqsDQcpLlyLzv31hJvG8Uey2H2WcuC5zIN2GctY5+1jEH+oTz77gKWJB0I7o+zOMh1JpMTm0Vu4jByUkcHFwqIc+gPWCIiItJ3NX1WjmtLmzlq/eDaXEHjZ2Udllc2+5qp8XQScLmqQ8Ku1lutuxaTExvHFGmLJMGZEHKLd8aTGJFIvDOeBGcCic5E4p1x8Fc37Gykw0sZEDE6uc8GY12lkWMiIiLd6HQtMOBvasJbUdESnrUL0MrLW8K1wDazqalL57ZERwdGmyUnU5p2If+ML8aDN2yRAQc2zm9I5F+5jwYXCDhsO/rf3ZIMOzmORHJiBgTmOEsZS27KKHLj84iyR53AO3Fy/vnCq3ywfwfn5A7notuuO+3XFxERORP0h/m5ANw1jZQ9/gmm29/uY5GJx+7jDzP+RbFZGhJ0NTQ3nPD1Yu2xYcFWyC0i/LnT6jzu8/vqPZQ89qHmHEMjx0RERLrV6NGj2bx5c9gCA909Ks4SGYkjKwuyso55rL+hIVi6GTIirU2A1hqymR4P/oYGPA0NmPv3s2l6HM3x6aHBGIABzaaX7fVbuOHVXKyxUdhi7OD002hrotpeT5mtgUNOF/tiDHbH2tgfZ6XS4aHSXcomdylUbII9K4OnTMFGjj2O3Kh0cuLyAqFZxgSyk4YSaYvs1vcP4PCeQv5duI1mw8f7hdsYs6eQ9ME53X4dERGRM1lvnJ8LAuWRTd4mKl2VVLmqqHJXBe5dVVS6A9uqXdXBx1VNVczb91XOc58VNkeXgYGt2WD4+8m8mvXnsGsZGOHhVkSbUV3OxLARXvHOeOwW+yl9D6wxDhKvHtrhapWJ1wzpFV+n00Ujx0RERLpZfX09zzzzDC6Xi4iICObOnXvUcsrewjRN/PX1eMvK8VWUU1JYyO8+//yYr5v1xt+PvshAW1YL3mgLrgiT2kgflZF+SmIslEZbqI2C2iioiTKCj5ucgGGQblrItcWQE5FCbmwOOUnDyE0fR3bGRByOro848/l8vPDQUxRTE5xHLZN4vv3g3V0+l4iIiHTsdMzP1cpv+ql111LprgyUK7YJucLCL1cl1e5q3D73cZ//eOfo2nxtNREZsSFBWKwjFqslfNL73uB0fo1Ot67kRArHREREToG+vsAAHN8iA8Nyc/nyhAl4KyvxVVbhq6rEW1GJr7ISb1XLtooKvFVVXS7vBGi2EgzKaiMNaqNbn7cEaJFgjzSIi3GSkpBEZnIWeUlDyUk7m4GZE7HHpIPRftgbvP2bV1hftCVs+7TsMSqvFBER6SaNn5Z1OCop6YYRxyyvbPY1U+2uDozscoeGWq2PW+fxqnRVUuOuwWeGlwcei9PqJDEikURnYuC+5XFSRBIJEQkkOZNatiUQ8Vodvp21gRCpvZY5uvpiqNS2vLI/lFO2UlllP7Hrw8Os/3+7mDZnGEMmpvV0c05af+sPqE99hfrUN/S3PjldqaSUTcbp6rvzahzPIgNfvO46Io9zVJy/qSkQmlW2hGeVVS33FYEQrbISb1WbMK2xEbsPkusCt9DZYtuHdY1AI15LEbVR/2Zb1O95Pwq8kWBEWXHGRBCdmEBi2kAiYobx/sGWT7Xt5lHrD+WVb//lPTZ8uJap58zkoi9O6enmdIv+9u8D9L8+9bf+gPrUV6hPvZev3kPVn3eFbTeBsj9tY4vl35QZlUfKGtuN7qprrjuh68baY0mMSAwNttqFX0kRSSQ4E0iKSCLSFonRwR/SOuzTdUeZo8tpI/HLQ06ozT3NGuPAfXYa5r+LMcal9YtgrKsUjvVSjbUe1ry0A0+TlzUvbWfA0ASi4vruN2h/6w+oT32F+tQ39Lc+9af+xMTEMHv27A4XGZg9e3aXykUtkZFYBg7EPnDgcR3vd7kCgVlFZWBEWuvotMoKvJVVeCsqcJcdwlNehllTh9Xtw+aHpPrA7Qgf0AA04Ocg668agTeiuZN51Hy89sJyro6owZqejTU5FWtCQugtPh7DfmrnADlRZSVVvPfhvzANL+s/fIezzhlJakZiTzfrpPSnn6dW/a1P/a0/oD71Ff21T9uX72CaFba93Lv75PK6giO4KlwVIaO5KpoquOA/oxnqGogVS8jrDAC3n9rX9/JY1m+Oeg2LYQmurtg+2Gp9HBJ8OROxW0/d/9H9dY6uxloP/3z3EJ4mL853D5JxYXav/b47VU4oHFu0aBGPPvooxcXFjB49moULFzJt2rQOj125ciWLFy9m06ZNuN1uRo8ezfz587nssstCjvvTn/7ET37yE/bs2cPgwYP53//9X66++uoTaV6fZ5oma1/eTrPbC4DH5WXt8h1cfvvYHm7Zielv/QH1qa9Qn/qG/tan/tYfgFGjRpHoHECV61DgE60JiREDun2RgfYsERFYBgzAPmDAcR3vd7uDI9O8FRVUH9xDxYHN1BXvo6miDF91Ha6IfIojO59fxDSg2NHE1vVbSS8Mn1A32LboKKzx8VgTk8LDs4QErAnxYdssMTHH/ZfpE+H3+3l56SuYRmBlUdP08vLSV/jefd8+Zdc81frjz1N/61N/6w+oT31Ff+3T+t9vZYwt8Iv6aBus/8M2Lv3O2afl+s2+ZipdR0ZyVbgqgo/b3rcGYY3exk7PlevK5L/LZnW634qV8+smcFPqHMwU+5Hgq2WkV+uorzhnHBbD0ul5ekLE2GRqXrcR29CMxTDwmyZ10Xay+ugqnP3xZ+lEdDkcW7FiBfPmzWPRokVMnTqVJUuWcPnll7N161ZycsJLEN59910uueQSfv7zn5OQkMDSpUv54he/yPvvv8/48eMB2LhxI3PmzOHhhx/m6quv5s9//jPXX38969ev59xzzz35XvYxuz8qZe+m8uBz0w97Pylj14eHGTopvQdbdmL6W39Afeor1Ke+ob/1qb/1B2DPx2VYDuRgpBzGxIdh2rAcyOl1fbI4nVgyM7FnZgIQy3Sy2x3j8/koe+hJiqnF7CCnMkxIbXbyYfpOYuIMYpogtslsuYdoF1gAf0Mj/oZGmg8VH38DbbZAoBYfHpwFA7X4dtsSE7A4ju8vt/9ctZEq96EjI+IMqHIf4u2/vMfFX5p6/O3sRVp/nlwRZdTH7ia2dgh7P6HXfe91RX/7N6K/9QfUp76iX/bpw8Mk7KnBajcwDAObaZKwu/qE++T1e6l2V1PRVEGVu4rKpspg+BUSerXsO5EyRrvFTlJEUvDWOporyZlEpd9N4n4HRthQ7cAfoyJHJ/ODKx7o8jV72p6Py9hQ3MRFsTbsmHhN2FDchKOPfu/1x5+lE9HlCfnPPfdcJkyYwOLFi4PbRo4cyZe//GUWLFhwXOcYPXo0c+bM4ac//SkAc+bMoba2lr///e/BY2bNmkViYiLLly8/rnP2lwn5G2s9vPSzf+Np8obtc0TauOaBSUTG9p3hjU11HlY+8gGepvCa7L7YH1Cf+gr1qW/ob33qb/2B0D61DSic7tQ+26eDW/by/15bQTO+sDnHHFi58sov4suxcqhqF4cqtlFcu5dD9cUc9FRS3NyAw2US2wQxTRDT8jjwPPA4odEkuckkrtEk2mXgdBlYw/9bP25GZCSWhAQsLcFa4HEgTLPEB7bXWKN4+ZMPMI3wPhmmjVu/dTvJ6X2rvLL1e8/lbqIyJdA3w7SRVD6JCGdUn/ze62//RvS3/oD61Ff01z5t+PkHjLeHj5L6pNlkyv2TcERbqfXUHJmXq3UlRnclVcFJ6yuDE9TXemq63A6rYSXBeWQUV0JEIonBCenbljAmkehMJNre+ajoxpIG6p79FBuEHGOaJl4g9s6zicqI7nIbe1Lb770BdoOxkVY+b/JxqNnsk997R/tZckbZuGH+eX26vPKUrVbp8XiIiorilVdeCSl5/N73vsemTZtYu3btMc/h9/vJy8vjBz/4AXPnzgUgJyeHu+++m7vvPrJ8+hNPPMHChQvZv39/h+dxu9243UfKImpra8nOzu7T4Zhpmry55HMKPivH7GD1Cz8mu2x+/hLjOf2NOxEmXNXgYIjXgqWDvxb0uf6A+tRXqE99Q3/rU3/rD/TrPp1l28OBhJKw3dnVGXzqHXyUPvkxbHVY7JVEOkqIdRzEaS8DezUuewONNm+HI9Ls3iOjzwbW+8hu8DGgwU9Sg0FUox17kx1rkx2L24rFbeLweIlsdmE9jo9pfuDNy2+gLs4XPo9aS58j6p2kfPwxDfZI6ltuwceO1scR1NujqLdH4LY6Olzl87Rp+ToN9hrUJ2zD46wIlvQ63MnEVo/qs997/ebnqb/1B9SnvqJdn9oHFH2rT34MaxOGpZ7/qkvim44k7EZ4kNRswguWzbw+4tcYRpfGtmCaBqYvCtMbg+mLxvTFYHqjA49bt7Xc+70x4I8AuqGMseXrNMOw8YXo8IK1/zR4WWN6+8jXqUV/+3k6Rn8MC+SfndqnyytP2WqV5eXl+Hw+0tNDh9alp6dTUhL+AbMjv/rVr2hoaOD6668PbispKenyORcsWMCDDz7Yhdb3fpWHGkKGM7ZnwWC410qyz6DC2rV/FHtCit9gmNfa6f6+1h9Qn9SnnqM+9f4+9bf+QP/uU2PzENKi6imz12MagXLKtOYYXK5hDIej9MmC6Y3H542nvimf+va7jWYMezUWeyUR9lJiHIdwOMow7TU0RjVSFeujMM3GxrCPYH7Ajc00yfB6yfJ6GejxMaDRJKYuCltDLDTE4nbF0OiOwOOxYboN7B4v9ug46uKPsnS9Aa5YN4P8TWQWbj6u96nZsNJgj2gXnrUL1ToJ2BrskXgtJ7fmU+vXyRVRiieiIqQvnogKPBHlDHel9snvvVbtR2L2tZ+n/vzvQ2fUp96hbZ8cBpwdacXecl/u9eIxe7JPfgxrI4atHsPaELjZGjCs9aGPbS37rI0YhkliQyZfbvgxtnbBGASe2zC5yjOadU3pVEWVYHqj8PtaA67WwCumw8DL9EXRLWFXF7V+nYoxOeTxk2E3gvNzlTSbFDebDKfvfu91pK/9PB2rP63llRWH6kkecPwLMPVVJ/TJpf0PrGmaxzXB7PLly5k/fz6vv/46aWmhS9J29Zz33Xcf99xzT/B568ixvixpQDSDxqV0OnLMsEDO2GTW3Tb69DfuBJimyb9e2Erh5op+0R9Qn/oK9alv6G996m/9gf7fJ6NqCLa0z2k2fdixQtWQU96nWk8th+oPcqjhIAdrCiiu2sWhukIONR7mUHMtzYafIrudIrsdIoF4IBOgEWgkyl/MQK+XrGYvA71ekv0GGfZEaou/Qp3V0+k8anFmPKO/dQP+2lr8dbX46+paHre5b3mMz4fd9JHgaSDB0xBY6LOLjIhILHGxWGLj2t3HYomLC9zHxrV5fGS7ERMDhsFbz3/CZ6XvgUlYqWh93C4GDc1n3bemn8BXoWe0/d7z4aE+biem4aMufhf28nisOPrUz1N///dBfeq92vbp7AhrMFCyYXJ2pJUPXb5u65PX30y1u5oqVxXV7iqq3C33bUoaq91VwWNqPTWYdD0UyXRGM8DReYBlMQwGOAz+cMnzJGSlY7P0zhWT22r7dfq0yUeK7cj8XJ82+fr8915/+Hk6nv7kn516RgRj0MVwLCUlBavVGjaiq7S0NGzkV3srVqzgtttu45VXXuHiiy8O2ZeRkdHlczqdTpxOZ1ea3+sZhsGMG0ZQtKOTOccibFz4tZFEOU7ur7Gn04U3jux8DrU+2B9Qn/oK9alv6G996m/9gf7epzgyalIpi6sgrTaFJjMOZ+Sp7VOUI4mMmCQmEF6i4Df9lDaWcrD+IAfrD1JUvY+DVbsoqiukqLGUMm89jRYLuxwOdrWdpN/v5VF3Ih9HVeAxvWFBkh0b5zZF0uj4K6mDcolOyMdIGA1xAyE+G6KSgiWUpmliNjbiq6vDVxMI0ny1dfhqa/DX1uGrbbutFn9tbeDYlv3++sBYOtPVhM/VhK+0tOtvkmFgxMZSfu55mEmJ4aWiBph4qW1YR/M/SrHERGOJjsYaE4Ol7e04FzI4nS68cSR/+NlGqp27gvPDmXipi9tFmufsPvfz1L//fVCferMLbxzJPx/8NwPsR/6BaA2QcixGp31qXY2xyn1k9cXWSemDz91HttV6ak+offHOeBKdiSGT1LdOVJ/oPPI4KSKJhIgEbIaN0qVbcO+oxNLBABG/aeIckUT6kLwTak9Pafu992mTL1j+6jE55f/fnir97efpWP2Z8dXhPdCqntGlr5rD4WDixImsXr06ZM6x1atXc9VVV3X6uuXLl3PrrbeyfPlyrrzyyrD9kydPZvXq1SFzjr311ltMmTKlK83rF6LiHMz82nDe+s2WsH0zbhje5ybD62/9AfWpr1Cf+ob+1qf+1h/o/31yuYYR64Kmln092SeLYSEjOoOM6Awmpk8M2+/2uTlUfygQntUdpKh2Pwerd2Pd7WKMdQyRzYf5l6Nd2aQB53tGkGNN538O/oXNTX8jsthPms9HitdHms9HqmmQZoshJTKZtOgMUmOzSU0cQnRSPuRmQ9wIcB7fX41Nrxd/fX3n4VpdS6AWsu3IY9PtBtOkyjA4mHyUBQQMKGisY9vDDxNf28kvr3Y71ujoNoFZS4gW3SZAi446EqpFd7AtJgZLVBSGtfOyk66IinOQf4GNQx+Hl4rmTbH2uZ+nkJ+ldmWi/eHfh/b6Q5/az8/VV/vktMC4KCumxxc2P9dop8nvNj9PMaUhAViVq+qEVmM0MEhwJhwJt9rcdxSAJTgTsJ1AaXnK9cM49IsPOuyT4bCS8pVhXT5nT2v7vXeo2eRQ85EApq9+7/W3fyP6W39ORpd/au+55x5uuukmJk2axOTJk3nuuecoLCzkjjvuAALljgcPHuR3v/sdEAjGvv71r/Pkk09y3nnnBUeIRUZGEh8fDwQm9J8+fTq/+MUvuOqqq3j99dd5++23Wb9+fXf1s08ZMjGN3R8eDpZXtg5n7KvLqPa3/oD61FeoT31Df+tTf+sPqE+9hdPqJD8+n/z4/JDt/ov9bJn/OnnuFPJ8qey3lAXnUcv1p5LnS2W3fxv7Uw6DH5osFvZbLOy3ty3L8QNl0FAGDZ9DCUT5/aR5faT6fKRgIc0WQ6ozgdSoNFJjs0hLGERq8lCikoZA7ACwOTBsNqwJCVgTEuAEZrvwu934a2vx1tay9+232V1c3GGBkmGa5Ho8ZI4ahb++Hn9DQyCUa2jAbGwMHNTcjK+6Gl91ddcb0v56UVGhQVt0NJaYNkFbcF+bEWxRgW3WmCOva/R6+Wjrug6v8eHWdZx34dnExPSt8pUhE9PY9v5+Pjn8XrBMdEjGoF79s3Qsrf8+bNuxjbqY3cTWD2HkiFF9vk8F7xcztLAWG3B2lJXo3Phe06dmXzM1nhqqXdVUu6up8dRQ464JPHaHPq52VfP17bOY0DwcqxEaXBuGgcXnJ+FfXp7NWtnhtSyGhQRnQmio5QwPvlrv4x3xWC3dE5AfjTXGQdJ1Q6laviOsT0lfGYY1pm+GFH3x/9tj6W996m/9OVFdDsfmzJlDRUUFDz30EMXFxYwZM4Y33niD3NxcAIqLiyksLAwev2TJErxeL3feeSd33nlncPvNN9/MsmXLAJgyZQp//OMfeeCBB/jJT37C4MGDWbFiBeeee+5Jdq9val9e2deHM/a3/oD61FeoT31Df+tTf+sPqE+9ncViIf+OaZQu3MQUz3AORVThMb3YsTHFMxyv6WHS3dewYcC3aWxupLypnLKmMsoayyitP0R5zT5K64ooayyl1F1FubeBetNHo8XCPoeFfbSGaB7wl0J9KdRvhuLA1mi/n1SvjzSspFgjSXPEkRqZSlrsAFLicklLGkZK6kii4nPBcvRJoS1OJ5bUVGypqVyVns7TTz+N2+UOKxV1RkZy3f/8T4dBkunz4W9sDIRm9fX46uvx1zcEArSGNtsa2hzT0OaY4LYGaG4OnLOxEW9jI5SVnfDXyQTeO38q7gEDOnwf3E1N/OnRR5kVEYERGYklMgpLZCSWqMjA6LXWbVGRLdujMKICxxhO53HN/3uq1MXvxiw9UiZaH7cbOKfH2nOyDMNg0pez+c+iv2AagbLXSVdd2tPNOmlnR9pw0zI/lxmYn6u7+fw+6jx1HQZcHQVdrY8bvY3HfY1cVybnVI/qdL8VK+fXTeCH+ffgSI8OLWt0JhHnjMNinP4J6o9H1Fmp1H9UGiyvbC2njDortaebdsL60/+3rfpbn/pbf06UYZrHsUZ4H9CVJTr7il0fHmb9/9vFtDnDGDIx7dgv6OX6W39Afeor1Ke+ob/1qb/1B9Sn3m73K+8S8ZHBXsthNtp3Mrl5GIP86bgmwZDrpnXpXI3NjZQ1lVHaWEp57QFKq/ZQVltIaUMx5a4qyprrOOxz0WQc/8fIWL+fFNNCmsVJqj2W1IgkUqMzSI3LITVxMGkpI0hJGESkPSr4mrd/8wrri8JLPaZlj+Gi267rUp9OhN/jCYZlR0K1hpYg7UiI5q8/Eqr5GxqOhG2t2xobqY6L4x+XzzrmNWe98ffOS0U7Y7FgiYgIhGUtgVlrsGYEQ7aWIC3qOIK3yMjguQyH46jB2+bNm3n11VfDtl933XWMGTOma/3oJUzTZMWKFezYvgMTEwODESNHMGfOnJ5u2glr/LSMyuXbw/59SLphRIfBi2maNDQ3BEZzuaupcdUEH1e7q6l113b4uM5Td0IT0kOgfDHOGUeCM4F4Zzzxjvgjj52BxwnOBOIcsWS+acW+uxlMwvqEARGjk0m5sfMArTfz1Xs49IsPwOMHh4UBPzynz44aa6s//X/bqr/16f8t/h3bDu5kVNZwvnLHTT3dnG7RlZxI4ZiIiIhIP+D3B8or491JWAwLftNPjbOSsQ9dfewXn6CG5gbKGkspq9xNaeVOymr2U1Z/iLKmcko9NZT7mijFS1MXRjXFmpBq2BnkTmfu7rt517mTQkt5SKnodPcwjG9nkZKTRbQ9uteOAmll+v34Ghp5ZeWf2LlvHx19/DaAfIeDWU4n/sYm/E1N+JsaMRubAiPhmtpta2oKzNF2qlksoaFam/DNFR3Fq0lJeCC4qEMrp8XCzSNGEBMTgxERgeFwYolwBka5OZ2BMM/pxOI8ss04xsjC06W/BH5+00+Tt4m6qmqany2gye3mVedGPHhxYOM693nY7FaWX7Cew5SFjujy1OD1h0/Qfbyi7dEtQVbckVDLeeRx28Cr9T7WEXvcP8u+eg8lj31Io6uJV9r06SvuyURFRJHx/Yl9OlD6+I0NrP7PGi75wgVMuGJyTzenW2zevJm///3vXHHFFYwe3TdWczyW/tSnsuJDLFq0GNNiwfD7+c53/pvUzAE93ayTpnBM4ZiIiIicgeoPlVO6cBN2w0Gz6SZt3nhiBqT0aJtM06TBVUNp+VbKK3dSWr2XstoiSptKKXdXU9pcT5nZTJkFXK3hiB8WbpnLUOsI3IY37Jdfp2ljl28b88Y+iwHEWBzE2CKJtccQ44wnNiKR2IhEYuwxxDpiiXXEEuNoeWwPfxxhjTgtZYn19fU888wzuFyusH0RERHMnTu3S3OOmT5fIDBrbMRsDc+CYVrLtpCgrbHN847DN7PlsenxHP3awHtTp3Bo4EDMDkItw+9n4MGDTH1vw3H3x3A4AiFZhBOLs1141nZbhBPD4cSIiGjzuPXYiA5DuOC5IiLanDMCw24P+dp399eoq0zTpMnbRH1zPQ3NDcFbfXM9jc2NYdsbmhuo99TT4G2gwdMQet/cACY8cPBbnFs3ljX2rWFzEl7QPJqNsZ/yv1m/6bA9DosjEGBFHGUkV/vQyxGP3Wrv8HzdqWFTKa/86ZWwPl3/lev7dBli2+/B0/E9dzr01z49uXAhzc3N2O12vjdvXp/tk9/v58n/fZgarz/whw7TJMFmYd5PftbTTTtpXcmJ+s4aoyIiIiJyVDEDUij5ghP3fxrhC1E9HoxBYC6TmMgEYrKnMCi785XITXcD9ZW7KavYxsFP95JvC5REReLg/OYRwbKpSBxgwHDbaMZUZrM56QB1fg91Hg/FnhpoONjlNtostrDQrDVQi7HHEOeIC3/siCHOfuSx3XLsMCAmJoZLxk7nrx+8Fbbv0rOmd/kXK8NqxRoTg/UU/EJmer34XS78DY2YTW1GrjUGQrWyigoObt/e+estFoqys3FPnUp8fR2m24PpcuF3uzHd7uBjfL4jr/F4AqFcXR2+Ts/czQwjGJzhdLLu7LNwJyWFjYQDcDe5+NMvfsGlEAjV7A4Mhx1sdrxW8FpNPBYTt9WPBx8uixeX4aWp9UYzjXhowE0DbupxUW+6qTObqDObqPU3UmM20mw18VnosA1dlevOZGrdePZYDrPPemTOPNOAfdYy9vvKOb9uAj8f/iCOjOiQkVzxzvjTFhyfiL3Wjvu013KYMfTNcMw0zf/f3r2HR1Udeh//7bkngQyQYEIEAgJyFxGsXMR6WqFVKb2cVlqO4FtrW9vT2lTrsRb7tvU5YrWtl2rF0nP6enz6qPRti6VeWrHHt0LhaBuIFopcFAhCIoaGZELIZGbv9f4xk2EmM7lMiOQy38/z7Gf2rL32nrWAlTg/19pbzzzzjMLxWaHhcFjPPvvsgF7SO1j79NsNGxSJRCTLUiQS0cann9aKa6/t66b1yItP/1oNtjn9M8eydMI22rThV1r88ff+Fgb9BeEYAADAIDLxk4ukAfjfspa/QENHzdLQUbM0bpqjXXtOLxE9zynReeHTT81yjKMG1xE99r4PKdR4WKGmGoVOHlNT83GFWuoVMmE1WS6FXLGtyeVSyGUl9ptcLjW6XDrpsuRYlqJOVPXhetWH63vc/jxPXmKm2hDfkJSArW1/uF2oOa+UqNwUpy0VHfmKo0Oz35JnqF9uyy2PyyOP5ZHb5Zbbcsvr8srtcp+1JaSWx9Np8DbUGE1Zv1579uzJvEzUsjRlyhRd+N3vdvo5sRAuLNMaD8yS98OtMuEWOS0tsXAtHA/XWsJywi0pgZvdckp2yyk58fpOIohrOzcshVul1lYpHJHV1mZjZFpaZLe06EQwqMNFRR231ZIOuN061MV94VySAvHtTERdku2xZLst2R6XjMcd27xuyeOVfB65vD5ZXq9cPr/cPr/cfr88voA8voC8/jx5fflq8b6jP7veiE33a/dwiy3eNzQ6kKdFNS5Z77bKch+X3A2yPEcUdbt10u2R5XFLbrcsj0eW2y3Fy2L77vSyeL3kfbndvRqyNTU16dlnn8147JlnntG4ceMG5CyeXbt26Y2k0NkYo927d2vnzp0DaklvssHYp507d2rfm2+mhEl79+8fkH16t+aotu14PfagmOQxaoy2bn9NF85bMCiWV3YHyyoBAADQ7yQvEU3+Um2M6XrJaDgkhd6RmmqlUK0Uqkl6fSf+WiMTaVazZSVCtFh4ZmUO1bx+hbwBhTzeWLmkkInolOnmfZniy9vmhS5Qq+y0paI+uTtd3tbGkhULzlyeRIjmttxyu+IBWnw/Ea611XG55bE8if32AVzy9ZKvmTin3TGPyyNXo6V9z+5TRNG00MUnj867crxah9qKOBFFnagiTiSxJd7bEUVNVBE7klYvbb+TOlkxRm5H8kUkX/T05m2VPnjqM2qwIjIZchzLSEVRr469+4Q8tpHHkTx2bPPGXwPGI7/jlt+45bdd8jkueR1LXkfy2JY8USO3beSyHbmisc2K2lIkKstxsutHd7oqaeui9+tIWWmHfTr3aI0Wbn651z87jTtDeJYoc8tyezLspwdtxuPWfw8foWq/TyZD4GYZo3GSlhhJLit2LzvLJblcslxWxn25LFlWPBzI5pxEvQ72LSt2Tlf1XJaaIxH955YtCkfTf6b4vV7d8IEPqMDvT+5p+p9xu6K0QDLb9+kXzOrzTobDWvfccwpH0seo3+vV5xcvjvXJmFjI3m4zxkiOkdRFmePE/rFnKjOn63ZZZoxknKS2KK2sORLVYwcPKGpMWpjksaRVI89RniQ5RsaxY211nHb7Toayro7Hy2xbsiOSHZWJtkp2NL4ff7WjkmNLth3fdyTHjp2XdB0ZI9txtHHBB3RyeHHmmaqDYHklyyoBAAAwoA0pK1btxT5Zlan/wW5ZlpyLA50vGfUPjW3FEzuuY4yscEgFTe+oIFSj0pQQrV2oFj3V4WWikk66XGp0WbHQLC+oUP4INeUVKuQfopA3oCaPT56WYi0MzZYk5cmdvlRU0qWhi3R+dJwO+I4o6kQzPvXPyCSCoT4VD/sWRM7Xn3x/Tz1mSQtaz1ftH2v0gy7CvveKx+WR1+VNvKbsu73yWB553anlo04W6ept82LBpUkP/Lzy6EP2PL3z5fnylhRoiHeI8r35GuIdogJvgfI8eWc0O8rYtkwkcnprbW33PiITaY2/RjqvGy+ra2nR202hjj/Tkt4+d5Ra/+mfNDzcImM7sS/U0diX6eR9RaPxssz7sk9/Ac+o7Xhraw+fZxlzIhjUoU6e/GosSwckHXq+B09+7SNt9/BrPffcWJDWTms4rN/+x39kdQ+/vtadPj39058OuD5tvnShoueemzFYjBqj53fs0GVb/twn7cvW0ZFFOjmikyXI8eWVe16v0uQLLjxr7eorhGMAAADol87750u1628ZnsD5yV54AqdlSYHC2FY8qeN6xkgtDVLTOxlnoHlCtQqGahQM1UqtYam1TmqoS7uM40i7wpMU9E3veKmodVC/nvZhKb9Iyi+SkzdMdt4wRQLDZHv8so2jqIkq6kRlGzv26tinyxxbtonN1LKNHTvmRBU10cR+23ltZYn3yceSr9+urO06wcY8LXxjtoyMDtnvpt0UfaIzShNDo7Ry5HI1FrakBVEZ9zPUSQu1Ojs/KfjqSUhljNHxxt1auGeKXvLsbPfvRbo0MkXDZ4zSpAunZX3t7kjMkAqc6YLM04q7ufx1VhfLX7NhHCcRhJmoHZ/NYsdntrQL15KOd3pONB7U2bZKI1HtP3hAb4VCGUM2S9J4v18TP/u/4rNk4jN/Mu07jozpej92Tgf7bTOZOjvHaauXeb/e59ORMWM6/jON38Pv5JTJGnYqHtZn6nz7v+Ou3mcoyxTKpxV147on8vO716dJk2J9apu1Jyu237a5rPh4Ti5zxd5mqtvdsrZrykhy4n1wZBlbMrZkYn+Hki3LiZUd9/hUM3p0h32SZalm9Gg5F+RpRHNdLD+zTCxnT3TBJIL3xHEr6bhMoqvq5HxLkrx+yRN7KIk8Acnrl+ULSN6ALG+e5AtI3jxZvjzJlyfLly954/v+Ao31BPTa5tfV6PJ1OnMsF4IxiXAMAAAA/ZTL5dL4GxfFllfKp6hp1fgbF53dRliWlDcsto2c3HE9Y6SWEx0u4/xHzTv6077/p6tGT5LX5U9bKhp1wvrT289q1MbNKvY3S4rdu8olyStJbn8iNFP+iKT9dmUFxVL+OVLeCMnbeyFLeneNjp/YrZbdx7UwMkVH/fVqNVF55dHCyBTJkgLTi/RvV93xnrWht1mWpeEfn6gJP6zXAfudtMBvgvdcDf9YJ7MR+yHLsrR06VIdPHgw4xM4/X6/rr766t79TFd8CaL3vXti5cc7eaqoPxDQJwbY0xCNMdrXjRBzbi+GmO81Y4zeXL9ee/a8kTGTsyxpypSp3euTHZFam6TWZinSLLWejL82S5GTsfdpZW11m5KOJdVpPRmr53Rzabwkf0u+3I3lsocO6zBMcodOqGRCTeLnuCTJmy/5CmKbt+D0fvLmzZd8Qzo4lqHMk5dxRl62Vs58vx55ZG3sqcPtlolajqN/ueGLZ/wZAwXhGAAAAPqt/vgEzowsS8obHtvOmZp2uMgYjfnRGlXufkHzRy5rd6qlvx5/QWNHu1U85yqp+Xh8+4fUXCdFWyQ7LIWOxrbu8g3pPEjLL04tzxsuubv39aAtSDq6p04B25uyTDRgvDJeDbggSZLcQ3wa8fHztfDJlrTAb/inJso9xNfXTczakCFDtHTpUv3qV79KO7Z06dIBFSK1GWx96osQs1fZ0VjoFDmVeLUip/TBCQXas8vOeLN32bY+4GyVNryUGl5lCrnOxjJylycpiMo/HWh58+PvC1TszdfUzce10xkqudzpfXJsTSsKqPjGLaeDLm9+r4RY75WRo8o0f/YF2vr6rtQDlqUFF83KmZvxS4RjAAAA6OcG6hM4k1mWpcWf/1f9vOKLOnxyr87Nn5hYKnqkeZ+O6bCuv+OnUnBY+smtzUmBWV08NDvebmtX5kTjMyaapBPV3W9oYFjmMK2gOK08HHXrr3V/0MXDPpy6TNSSXq37vT5sz1S+Bl6YlHdBsQori7Vg/2S94t2nea2TVDi5WPkXdHJvnn5u+vTpem3HDu3bvz/2hd4YnT9p0oB7sl6yadOmKei21BB1En0a5nEN2D4NGTJEF50/IT2kkDRn8sSeBX6OE7tnYlJolf56JmUtsf0M4ZUx0tYjUxXQJJ0aPSH1oGUpUHNQ22r2a9no3d3vT1cBlm9ISpiVXmdIh8GXPF3/rLIkXXXZCR361jcUGtlueaVlaWh9ra6864eZf473Y1d87J+1a9ff08bS4o8P8F+8WSIcAwAAAM6C/OAwXfH5f9WLDz2sktFj5XX5FXXCqqx7QYtv+qryO/pC5Yt/gRvW8f17UhgjhRulkx0FaRnCtFP1kuJLQ1tOSP94s8uP2HRkqg6EilTqHa9z8yelhH0H61/Ti//+JS370JR2X1oLTn9BzbRcyN3BvW/Osr/W/UFTI7M1wb5Ukfjf0VWa1dfNOiP+mkOxp9i53JJjx94PYHv/Z4uiu3dIE2Yk+hTZ/Zr2bNusyfPP8vLr7nKc2CzQaNvWknhtrv+H9vz2KbmLRp9ethdfprdnwy+00L9L+Z5oduGVHT67/bNcsXHuzdPxSKH2h4rlVr3cjfVpffKETmifilV30b+puPScdksIex5gvdfyg8N01YqV+tWvf5PWp6X/cl3HP8f7MZfLpWtv+HxieWWuLadsQzgGAAAAnCWT5y/Snq2b9dfdL2j28A9oR/0fNXbuhb37Zd6ypEAwthVN6Lq+FAtNTtV3L0hrPq7jdSe1PxRb4lpZ94JKRpenhH3GSPuqQ6r746Op997pisuTFJglhWnJ9+xJuw9P0r16kmeHJNfx+Lsduu3ZtllvVL6skwXHNHvEB7X9+It6u3qPJmyb139Dly7s2bZZhyr/R4GhwxUuHSt/bbUO7q3v30FSJ5obTujFn/1ELttWoOZQok8u29amnz2sMdNmpocUxsTuXdUWSNnJAVVL0n5ru/fh00ub25d1eU5r+vsM2sLmSEuRArWHdLJgaCLwC9QeUqsd0Yu/eT67WVbtefJiN2OPh1ep+9mUBTqukxRuFxmjiT9aozcrX8nYJ8vl0sS581S87Fs971MfmbLgMk3982btDLUk+jRt1DkDciy1GTmqTAsumqVt26s0/6LZObWcso1lMt3xbwBqbGxUMBhUQ0ODCgsL+7o5AAAAQEbNDSf084ovKtx8Uv6CAl1//08H3GwDY4w2/vDf9eb2v8g4jsYUTDkdJDXvkWVJE8cN17LLR5++IXZr/ObYyfcWatve6xkulrvdja8zz2Brtn36+f/dpXCrnXYJf8Cn67+yXPlDCuL3G3LFrmtZsf1EWVu5K36vpXZlKXWtpLrtz+/suu5uh32n/701K/Wxg5b8Bfnp//7i906SE03a2r9vXxbpxjldXaN75xg7qo1b6vTm0XDmG73LaGJRWMvOfydphlY8nMr4iMe+YsWeMOjxq661UP+1qzxxJJIUYnpD9Yny6z4+WcXnjMgi2Iq/egJ9ct+r5H97kaHDkvp0IvO/vQGkueGE1n7rG2oaXqIh9e/oS2t+OGD7MphlkxMRjgEAAABn2Z5tm/Xf/+en+sBnb9Tk+Zf2dXN6JOvQpTN2NOmpc+1DtKbUp8u1D9aSn0j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      "text/plain": [
       "<Figure size 1500x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(15, 4))\n",
    "plt.plot(strikes, IV_BS, label=\"BS\")\n",
    "plt.plot(strikes, IV_VG, label=\"VG\")\n",
    "plt.plot(strikes, IV_Mert, label=\"Mert\")\n",
    "plt.plot(strikes, IV_Hest, label=\"Hest\")\n",
    "plt.plot(strikes, IV_L_BS, \"d\", label=\"BS Lewis\")\n",
    "plt.plot(strikes, IV_L_VG, \"d\", label=\"VG Lewis\")\n",
    "plt.plot(strikes, IV_L_Mert, \"d\", label=\"Mert Lewis\")\n",
    "plt.plot(strikes, IV_L_Hest, \"d\", label=\"Hest Lewis\")\n",
    "plt.ylim([0.08, 0.45])\n",
    "plt.legend(loc=\"upper center\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Ok, this method seems a bit slower than the previous, but it can be a good alternative."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id='sec2'></a>\n",
    "# Market data\n",
    "\n",
    "\n",
    "Let's analyze some options market data (the expiration dates were chosen at random). I took the following values from [barchart](https://www.barchart.com/etfs-funds/quotes/SPY/options?moneyness=allRows&expiration=2020-05-15-m).\n",
    "\n",
    "The current date is 02 July 2020.\n",
    "\n",
    "- Maturity date: 10 Aug 2020  $ \\quad \\quad \\sim$ 1 week time to maturity.\n",
    "- Maturity date: 15 Jan 2021  $\\quad \\quad \\sim$ 1/2 year time to maturity\n",
    "\n",
    "This is a set of option prices written on the [SPY](https://en.wikipedia.org/wiki/SPDR_S%26P_500_Trust_ETF) ETF. \n",
    "    \n",
    "If we assume 252 business days, the time to maturity to the 10th of July corresponds to the year fraction \n",
    "$T = 5/252$, where 3, 4, and 5 July are holidays.     \n",
    "For the 6 months maturity I'm using the Act-365 convention with $T=197/365$. Counting the year fraction considering only business days it is more common when dealing with options (see [4]) but in this case I have no idea how many holidays there are till the 15th of January. \n",
    "\n",
    "The current value of SPY is $S_0 = 312.23$.    \n",
    "\n",
    "I didn't check the actual interest rate, and I will use a reasonable ad-hoc value. **This choice has a very important effect on the values of implied volatility.** In a serious analysis you should use the correct value of $r$ (which has a term structure dependent on T as well).\n",
    "\n",
    "##### Comment:\n",
    "For for very short times to maturity ($\\sim$ days), it is very difficult to replicate the smile in the ITM and OTM regions. The reasons are several. There can be numerical error issues in the pricing and in the calibration process. Or more simply, the chosen stochastic model is not so good."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Files in the data folder:  ['stocks_data.csv', 'spy-options-exp-2021-01-15-weekly-show-all-stacked-07-05-2020.csv', 'spy-options-exp-2020-07-10-weekly-show-all-stacked-07-05-2020.csv', 'historical_data.csv']\n"
     ]
    }
   ],
   "source": [
    "files = os.listdir(os.getcwd() + \"/data\")\n",
    "print(\"Files in the data folder: \", files)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id='sec2.1'></a>\n",
    "## 1 week maturity"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "S0 = 312.23\n",
    "r = 0.05\n",
    "T = 5 / 252\n",
    "opt_param = Option_param(S0=S0, K=S0, T=T, v0=0.04, exercise=\"European\", payoff=\"call\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Strike</th>\n",
       "      <th>Bid</th>\n",
       "      <th>Midpoint</th>\n",
       "      <th>Ask</th>\n",
       "      <th>IV</th>\n",
       "      <th>Type</th>\n",
       "      <th>Spread</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>225</th>\n",
       "      <td>370</td>\n",
       "      <td>56.89</td>\n",
       "      <td>57.11</td>\n",
       "      <td>57.33</td>\n",
       "      <td>0.1387</td>\n",
       "      <td>Put</td>\n",
       "      <td>0.44</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>226</th>\n",
       "      <td>375</td>\n",
       "      <td>61.90</td>\n",
       "      <td>62.11</td>\n",
       "      <td>62.33</td>\n",
       "      <td>0.0025</td>\n",
       "      <td>Put</td>\n",
       "      <td>0.43</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>227</th>\n",
       "      <td>380</td>\n",
       "      <td>66.89</td>\n",
       "      <td>67.11</td>\n",
       "      <td>67.33</td>\n",
       "      <td>0.0000</td>\n",
       "      <td>Put</td>\n",
       "      <td>0.44</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>228</th>\n",
       "      <td>385</td>\n",
       "      <td>71.90</td>\n",
       "      <td>72.12</td>\n",
       "      <td>72.33</td>\n",
       "      <td>0.0000</td>\n",
       "      <td>Put</td>\n",
       "      <td>0.43</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>229</th>\n",
       "      <td>390</td>\n",
       "      <td>76.88</td>\n",
       "      <td>77.10</td>\n",
       "      <td>77.33</td>\n",
       "      <td>0.7404</td>\n",
       "      <td>Put</td>\n",
       "      <td>0.45</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     Strike    Bid  Midpoint    Ask      IV Type  Spread\n",
       "225     370  56.89     57.11  57.33  0.1387  Put    0.44\n",
       "226     375  61.90     62.11  62.33  0.0025  Put    0.43\n",
       "227     380  66.89     67.11  67.33  0.0000  Put    0.44\n",
       "228     385  71.90     72.12  72.33  0.0000  Put    0.43\n",
       "229     390  76.88     77.10  77.33  0.7404  Put    0.45"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "filename = \"data/\" + \"spy-options-exp-2020-07-10-weekly-show-all-stacked-07-05-2020.csv\"\n",
    "data = pd.read_csv(filename, usecols=[0, 3, 4, 5, 8, 11])\n",
    "data[\"IV\"] = data[\"IV\"].str.rstrip(\"%\").astype(\"float\") / 100.0  # transforms the percentage into decimal\n",
    "data[\"Spread\"] = data.Ask - data.Bid  # spread column\n",
    "data.tail()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "CALL = data[data.Type == \"Call\"]\n",
    "PUT = data[data.Type == \"Put\"].reset_index(drop=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Let us recover the implied volatility from option prices.\n",
    "\n",
    "We can check if the volatilities we computed correspond to the volatilities provided in the CSV file.    \n",
    "For this purpose, we consider the Mid-price defined as the average between Bid and Ask prices. The error interval is the interval between Bid IV and Ask IV.\n",
    "\n",
    "When working with this type of data, frequently happens that the CSV file contains unreliable values of IV:\n",
    "1. because the solver was not able to converge.\n",
    "2. because other operational errors.\n",
    "\n",
    "Sometimes the problem is just the choice of using the Mid-price. Choosing another value between the Ask and the Bid price can yield a reliable value of the IV. In this case we can use `implied_vol_minimize`, which is able to reduce the error introduced by using the wrong price.     \n",
    "In other cases, the error cannot be reduced and I think it is better to ignore those values."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Plots. Minimization:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "IV_call = CALL.apply(lambda x: implied_vol_minimize(x[\"Midpoint\"], S0, x[\"Strike\"], T, r, payoff=\"call\"), axis=1)\n",
    "CALL = CALL.assign(IV_mid=IV_call.values)\n",
    "IV_put = PUT.apply(\n",
    "    lambda x: implied_vol_minimize(x[\"Midpoint\"], S0, x[\"Strike\"], T, r, payoff=\"put\", disp=False), axis=1\n",
    ")\n",
    "PUT = PUT.assign(IV_mid=IV_put.values)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1700x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(17, 4))\n",
    "ax1 = fig.add_subplot(131)\n",
    "ax2 = fig.add_subplot(132)\n",
    "ax3 = fig.add_subplot(133)\n",
    "ax1.plot(CALL.Strike, CALL.Midpoint, \"-\", label=\"CALL\")\n",
    "ax1.plot(PUT.Strike, PUT.Midpoint, \"-\", label=\"PUT\")\n",
    "ax2.plot(CALL.Strike, CALL.IV_mid, \".\", label=\"BS inversion\")\n",
    "ax2.plot(CALL.Strike, CALL.IV, \".\", label=\"provided vol\")\n",
    "ax3.plot(PUT.Strike, PUT.IV_mid, \".\", label=\"BS inversion\")\n",
    "ax3.plot(PUT.Strike, PUT.IV, \".\", label=\"provided vol\")\n",
    "ax1.set_title(\"Price curve\")\n",
    "ax2.set_title(\"CALL Volatility smile\")\n",
    "ax3.set_title(\"PUT Volatility smile\")\n",
    "ax1.set_xlabel(\"strike\")\n",
    "ax2.set_xlabel(\"strike\")\n",
    "ax3.set_xlabel(\"strike\")\n",
    "ax1.legend()\n",
    "ax2.legend()\n",
    "ax3.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Plots. Root finder:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "IV_call = CALL.apply(\n",
    "    lambda x: implied_volatility(x[\"Midpoint\"], S0, x[\"Strike\"], T, r, payoff=\"call\", disp=False), axis=1\n",
    ")\n",
    "CALL = CALL.assign(IV_mid=IV_call.values)\n",
    "IV_put = PUT.apply(lambda x: implied_volatility(x[\"Midpoint\"], S0, x[\"Strike\"], T, r, payoff=\"put\", disp=False), axis=1)\n",
    "PUT = PUT.assign(IV_mid=IV_put.values)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1700x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(17, 4))\n",
    "ax1 = fig.add_subplot(131)\n",
    "ax2 = fig.add_subplot(132)\n",
    "ax3 = fig.add_subplot(133)\n",
    "ax1.plot(CALL.Strike, CALL.Midpoint, \"-\", label=\"CALL\")\n",
    "ax1.plot(PUT.Strike, PUT.Midpoint, \"-\", label=\"PUT\")\n",
    "ax2.plot(CALL[CALL.IV_mid != -1].Strike, CALL[CALL.IV_mid != -1].IV_mid, \".\", label=\"BS inversion\")\n",
    "ax2.plot(CALL.Strike, CALL.IV, \".\", label=\"provided vol\")\n",
    "ax2.plot(CALL[CALL.IV_mid == -1].Strike, CALL[CALL.IV_mid == -1].IV_mid, \".\", label=\"inconsistent values\")\n",
    "ax3.plot(PUT[PUT.IV_mid != -1].Strike, PUT[PUT.IV_mid != -1].IV_mid, \".\", label=\"BS inversion\")\n",
    "ax3.plot(PUT.Strike, PUT.IV, \".\", label=\"provided vol\")\n",
    "ax3.plot(PUT[PUT.IV_mid == -1].Strike, PUT[PUT.IV_mid == -1].IV_mid, \".\", label=\"inconsistent values\")\n",
    "ax1.set_title(\"Price curve\")\n",
    "ax2.set_title(\"CALL Volatility smile\")\n",
    "ax3.set_title(\"PUT Volatility smile\")\n",
    "ax1.set_xlabel(\"strike\")\n",
    "ax2.set_xlabel(\"strike\")\n",
    "ax3.set_xlabel(\"strike\")\n",
    "ax1.legend()\n",
    "ax2.legend()\n",
    "ax3.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Inconsistent values:** when there is no implied volatility able to reproduce the mid-price, the `implied_volatility` function returns $-1$.  \n",
    "\n",
    "Using `implied_vol_minimize` provide values for the put option that `implied_volatility` was not able to retrieve. However, it is difficult to say if these values are reliable or not.\n",
    "\n",
    "Let use ignore the data point with $IV = -1$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "CALL = CALL[CALL.IV_mid != -1].reset_index(drop=True)\n",
    "PUT = PUT[PUT.IV_mid != -1].reset_index(drop=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Calibration\n",
    "\n",
    "If we call $\\Theta$ the set of parameters, the goal is to find the optimal parameters $\\Theta^*$ that minimize the following objective function:\n",
    "\n",
    "$$ \\sum_{i=1}^{N} w_i \\biggl( P_i - f(K_i|\\Theta) \\biggr)^2 $$\n",
    "\n",
    "where $P_i$ are the market prices, $f$ is the pricing function and $w_i$ are weights usually defined as \n",
    "\n",
    "$$ w_i = \\frac{1}{\\text{spread}_i} $$\n",
    "\n",
    "(they give more importance to the points with smaller spread).\n",
    "\n",
    "Among the many numerical methods, here I use the following:\n",
    "- [curve_fit](https://docs.scipy.org/doc/scipy/reference/generated/scipy.optimize.curve_fit.html)\n",
    "    It uses the `trf` method when the parameters are bounded and the `Levemberg-Marquadt` method for unbounded parameters.\n",
    "- [minimize(method=’SLSQP’)](https://docs.scipy.org/doc/scipy/reference/optimize.minimize-slsqp.html#optimize-minimize-slsqp)\n",
    "\n",
    "For the unconstrained problem (Heston, Merton and VG) I use `curve_fit`, while for the constrained Heston problem I use `minimize`.\n",
    "\n",
    "##### Comment:\n",
    "In order to make the code simpler, I will only use CALL prices for the calibration."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "option_type = CALL\n",
    "prices = option_type.Midpoint.values\n",
    "strikes = option_type.Strike.values\n",
    "spreads = option_type.Spread.values\n",
    "payoff = \"call\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Merton parameters calibration"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "def f_Mert(x, sig, lam, muJ, sigJ):\n",
    "    Merton_param = Merton_process(r=r, sig=sig, lam=lam, muJ=muJ, sigJ=sigJ)\n",
    "    opt_param = Option_param(S0=S0, K=x, T=T, v0=0.04, exercise=\"European\", payoff=\"call\")\n",
    "    Mert = Merton_pricer(opt_param, Merton_param)\n",
    "    return Mert.closed_formula()\n",
    "\n",
    "\n",
    "init_vals = [0.2, 1, -0.5, 0.2]\n",
    "bounds = ([0, 0, -np.inf, 0], [2, np.inf, 5, 5])\n",
    "params_Mert = scpo.curve_fit(f_Mert, strikes, prices, p0=init_vals, bounds=bounds, sigma=spreads)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### VG parameters calibration"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "def f_VG(x, theta, sigma, kappa):\n",
    "    VG_param = VG_process(r=r, theta=theta, sigma=sigma, kappa=kappa)\n",
    "    opt_param = Option_param(S0=S0, K=K, T=T, v0=0.04, exercise=\"European\", payoff=\"call\")\n",
    "    VG = VG_pricer(opt_param, VG_param)\n",
    "    return VG.FFT(x)\n",
    "\n",
    "\n",
    "init_vals = [-0.05, 0.2, 0.1]\n",
    "bounds = ([-np.inf, 0, 0], [np.inf, 5, np.inf])\n",
    "params_VG = scpo.curve_fit(f_VG, strikes, prices, p0=init_vals, bounds=bounds, sigma=spreads)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Heston parameters calibration\n",
    "\n",
    "What to do with the **Feller condition**?\n",
    "\n",
    "The Feller condition is hardly satisfied in the market, mainly because having $\\kappa \\theta > \\frac{1}{2} \\sigma^2$ implies a high mean reversion which reduces the volatility of the stochastic volatility $\\sigma^2$.    \n",
    "The vol of vol is responsible for the convexity of the smile. \n",
    "In order to increase the convexity to match the empirical smile, we have to increase $\\sigma^2$ violating the Feller condition.   \n",
    "However this is not really an issue, at the moment the $v_t$ reaches $0$ we have a positive drift $dv_t = \\kappa \\theta dt$ that will push instantly the process away from 0.\n",
    "\n",
    "Let us calibrate the two cases:\n",
    "- Ignoring the Feller condition (using `curve_fit`).\n",
    "- Introducing the Feller condition as an inequality constraint (using `minimize`).\n",
    "\n",
    "#### Comment:\n",
    "1. The calibration of the Heston pricing model is a difficult task and here I'm adopting a very naive approach.    \n",
    "For more information I suggest you look at [3] where the problem is treated rigorously and there is also a literature review. \n",
    "\n",
    "2. The calibration of 5 parameters will make the following code **quite slow**. \n",
    "In [3] there are several suggestions to speed up the code."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Unconstrained problem\n",
    "def f_Hest(x, rho, sigma, theta, kappa, v0):\n",
    "    Heston_param = Heston_process(mu=r, rho=rho, sigma=sigma, theta=theta, kappa=kappa)\n",
    "    opt_param = Option_param(S0=S0, K=K, T=T, v0=v0, exercise=\"European\", payoff=payoff)\n",
    "    Hest = Heston_pricer(opt_param, Heston_param)\n",
    "    return Hest.FFT(x)\n",
    "\n",
    "\n",
    "init_vals = [-0.6, 1.0, 0.04, 2.5, 0.04]\n",
    "bounds = ([-1, 1e-15, 1e-15, 1e-15, 1e-15], [1, np.inf, 2, np.inf, 2])\n",
    "params_Hest = scpo.curve_fit(\n",
    "    f_Hest, strikes, prices, p0=init_vals, bounds=bounds, sigma=spreads, xtol=1e-4, max_nfev=1000\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Positive directional derivative for linesearch\n"
     ]
    }
   ],
   "source": [
    "## Constrained problem\n",
    "init_vals = [-0.4, 1.1, 0.1, 0.6, 0.02]  # rho, sigma, theta, kappa, v0\n",
    "# init_vals = [-0.7, 2.8, 0.7, 0.1, 0.02]  # alternative starting point\n",
    "\n",
    "# bounds and constraint\n",
    "bounds = ((-1, 1), (1e-15, np.inf), (1e-15, 50), (1e-15, 50), (1e-15, 10))\n",
    "\n",
    "\n",
    "def Feller(x):\n",
    "    \"\"\"Feller condition\"\"\"\n",
    "    return 2 * x[3] * x[2] - x[1] ** 2 - 1e-6\n",
    "\n",
    "\n",
    "cons = {\"fun\": Feller, \"type\": \"ineq\"}  # inequality constraint\n",
    "\n",
    "\n",
    "def least_sq(x, prices, strikes, spread):\n",
    "    \"\"\"Objective function\"\"\"\n",
    "    Heston_param = Heston_process(mu=r, rho=x[0], sigma=x[1], theta=x[2], kappa=x[3])\n",
    "    opt_param = Option_param(S0=S0, K=K, T=T, v0=x[4], exercise=\"European\", payoff=\"call\")\n",
    "    Hest = Heston_pricer(opt_param, Heston_param)\n",
    "    prices_calib = Hest.FFT(strikes)\n",
    "    return np.sum(((prices_calib - prices) / spread) ** 2)\n",
    "\n",
    "\n",
    "result = scpo.minimize(\n",
    "    least_sq,\n",
    "    x0=init_vals,\n",
    "    args=(prices, strikes, spreads),\n",
    "    method=\"SLSQP\",\n",
    "    bounds=bounds,\n",
    "    constraints=cons,\n",
    "    tol=1e-4,\n",
    "    options={\"maxiter\": 500},\n",
    ")\n",
    "print(result.message)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Now we can price the options using the just calibrated parameters."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "opt_param_Feller = Option_param(S0=S0, K=K, T=T, v0=result.x[4], exercise=\"European\", payoff=payoff)\n",
    "opt_param = Option_param(S0=S0, K=K, T=T, v0=params_Hest[0][4], exercise=\"European\", payoff=payoff)\n",
    "\n",
    "Merton_param = Merton_process(\n",
    "    r=r, sig=params_Mert[0][0], lam=params_Mert[0][1], muJ=params_Mert[0][2], sigJ=params_Mert[0][3]\n",
    ")\n",
    "Mert = Merton_pricer(opt_param, Merton_param)\n",
    "VG_param = VG_process(r=r, theta=params_VG[0][0], sigma=params_VG[0][1], kappa=params_VG[0][2])\n",
    "VG = VG_pricer(opt_param, VG_param)\n",
    "Heston_param_Feller = Heston_process(mu=r, rho=result.x[0], sigma=result.x[1], theta=result.x[2], kappa=result.x[3])\n",
    "Heston_param = Heston_process(\n",
    "    mu=r, rho=params_Hest[0][0], sigma=params_Hest[0][1], theta=params_Hest[0][2], kappa=params_Hest[0][3]\n",
    ")\n",
    "Hest = Heston_pricer(opt_param, Heston_param)\n",
    "Hest_Feller = Heston_pricer(opt_param_Feller, Heston_param_Feller)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "Mert_pred = Mert.FFT(strikes)  # \"pred\" stays for \"predicted\"\n",
    "VG_pred = VG.FFT(strikes)\n",
    "Hest_pred = Hest.FFT(strikes)\n",
    "Hest_Feller_pred = Hest_Feller.FFT(strikes)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1700x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(17, 4))\n",
    "ax1 = fig.add_subplot(131)\n",
    "ax2 = fig.add_subplot(132)\n",
    "ax3 = fig.add_subplot(133)\n",
    "ax1.plot(strikes, prices, \".\", label=\"midpoint\")\n",
    "ax2.plot(strikes, prices, \".\", label=\"midpoint\")\n",
    "ax3.plot(strikes, prices, \".\", label=\"midpoint\")\n",
    "ax1.plot(strikes, Mert_pred, label=\"Merton\")\n",
    "ax2.plot(strikes, VG_pred, label=\"VG\")\n",
    "ax3.plot(strikes, Hest_pred, label=\"Heston\")\n",
    "ax3.plot(strikes, Hest_Feller_pred, label=\"Heston with Feller cond.\")\n",
    "ax1.set_title(\"Merton model\")\n",
    "ax2.set_title(\"VG model\")\n",
    "ax3.set_title(\"Heston model\")\n",
    "ax1.set_xlabel(\"strike\")\n",
    "ax2.set_xlabel(\"strike\")\n",
    "ax3.set_xlabel(\"strike\")\n",
    "ax1.legend()\n",
    "ax2.legend()\n",
    "ax3.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Are the values sorted? Merton:  True\n",
      "Are the values sorted? VG:  False\n",
      "Are the values sorted? Heston:  True\n",
      "Are the values sorted? Heston Feller:  True\n",
      "Negative values? ['VG']\n"
     ]
    }
   ],
   "source": [
    "print(\n",
    "    \"Are the values sorted? Merton: \",\n",
    "    (np.diff(Mert_pred) <= 0).all() if payoff == \"call\" else (np.diff(Mert_pred) >= 0).all(),\n",
    ")\n",
    "print(\n",
    "    \"Are the values sorted? VG: \", (np.diff(VG_pred) <= 0).all() if payoff == \"call\" else (np.diff(VG_pred) >= 0).all()\n",
    ")\n",
    "print(\n",
    "    \"Are the values sorted? Heston: \",\n",
    "    (np.diff(Hest_pred) <= 0).all() if payoff == \"call\" else (np.diff(Hest_pred) >= 0).all(),\n",
    ")\n",
    "print(\n",
    "    \"Are the values sorted? Heston Feller: \",\n",
    "    (np.diff(Hest_Feller_pred) <= 0).all() if payoff == \"call\" else (np.diff(Hest_Feller_pred) >= 0).all(),\n",
    ")\n",
    "temp_list = list(\n",
    "    compress(\n",
    "        [\"VG\", \"Mert\", \"Hest\", \"Hest Feller\"],\n",
    "        [(VG_pred < 0).any(), (Mert_pred < 0).any(), (Hest_pred < 0).any(), (Hest_Feller_pred < 0).any()],\n",
    "    )\n",
    ")\n",
    "print(\"Negative values?\", temp_list if len(temp_list) != 0 else \"No\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As already explained, the FFT method has problems for deep OTM values and short maturities. \n",
    "We can replace manually the negative values with fake values (we don't care too much about values with magnitude $\\sim 10^{-8}$). "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "Hest_Feller_pred[Hest_Feller_pred < 0] = 1e-8\n",
    "VG_pred[VG_pred < 0] = 1e-8"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let us compare the errors of the used pricing models!\n",
    "\n",
    "I choose MAV instead of MSE because I am only interested in the mean distance between the market price and the model price."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Merton. Mean absolute error:  0.16439609898287283\n",
      "VG. Mean absolute error:  0.20894406471429638\n",
      "Heston. Mean absolute error:  0.1778849402857224\n",
      "Heston with Feller. Mean absolute error:  0.2742512846999405\n"
     ]
    }
   ],
   "source": [
    "print(\"Merton. Mean absolute error: \", np.abs(prices - Mert_pred).mean())\n",
    "print(\"VG. Mean absolute error: \", np.abs(prices - VG_pred).mean())\n",
    "print(\"Heston. Mean absolute error: \", np.abs(prices - Hest_pred).mean())\n",
    "print(\"Heston with Feller. Mean absolute error: \", np.abs(prices - Hest_Feller_pred).mean())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Merton and Heston are the best, while the Heston with Feller condition is the worst."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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MyJEjWbVqFV999ZXDOe6//35uvfVWh2vv37+f7t27N8nPQ9SiUSpjmlhHKMRdcc9k9UBsH3XNmD6qpbRUVVVVzcvJUrcM1gpyv/3vgy18h0KI1q6ugsjWrqioSH300UfVYcOGqf7+/qqXl5caGxurPvbYY2pBQYGqqloh7quvvqpOnjxZdXd3V6Ojo9UVK1bYz2ErxN25c2e183/44YfqkCFDVDc3NzUwMFAdP368+uWXX9rf/8c//qEGBwerPj4+6rRp09SXXnpJ9ff3dzjHM888o4aEhKg+Pj7qrbfeqj788MNSiKs2byGuoqqq2rJhU/1ycnLw9/cnOzsbPz+/lr6dRldcWMCWicMJyYbdU3ty/aJv7e99fu1Q+u8tYv9AD675bGcL3qUQorUrKioiLi6Obt264eHh0dK30+gUReGrr77iiiuuaOlbEZXU9eeusX9/y+qhVmDVS/cSkg15HnDBPxzX/XuMPxeA6CNF5Odmt8TtCSGEEK2CBC2tgMcabV+NY4MDCAqPcnjvvJlPkuMFPkXwy5uPtcTtCSGEEK1Chw5akhKOtHj24rePX6TbKRWLAQb83xPV3vf09iOhlxcAlo0bmvv2hBCi1VBVVaaGOrgOHbSsnT+Dg+NG88VVQ/jq37PJSk9s9nvI+PQ9AI72MjNg9EU1HuM9aQoAMUeLycls4Z4LQgghRAvp0EGLX0Im3kXQ70AxfZat5/ikc/ny8kF8vvAW0hLjmvz6h3etp9dhrdut95XX1Xrc5JlPkuUDXsXw6xsyRSSEEKJj6tBBy3nfbuP4/Vewd6g3mT7gWQJ9D5fS/6OtnJp8MV9PHcin867jdNyBJrn+zv/Ow1wGCZEKF8yoPRgxu7lzMlbr0aJu2twk9yKEEEK0dh06aHH39OKS/3uO61ZsY+TGXZx89Cb2jPAjzR/cLRB71MLAL/aSccnVfHthfz55+AqOH9jSKNfOyUyh2840AHInVOnm+MwzEBQEQ4fCAS1gCph8GQAxx0vITD3dKPcghBBCtCXSp6UGZRYLG774H8k/fkr44UzCMyq9p8CJLgZyB0Qz+MYH6TvyfJeu8encqxn41QEyfWHwmk14+/prb+zapQUrNlOmwI8/Umax8OfYgQTnwIGbzuLqx9+t8bxCiI6rvfdpEa1Tc/ZpkTb+NTCaTEycNgemzQHgz2/f4cTKdwk9lEqnVOh+0gon47D+cC8/dlLI7NeJPtfezdAJVzp1/jKLhaDftQzKieERjLUFLAA//+x48G+/QXExRnd3Tsf6Ebw1B8MWaTInhBCi4+nQ00POGnPpLK5/az3nbThIwasL2X1uJ05GKBiA6DMqQ345jcfsf7J6Qj8+nj2RzT++V+f5fnzrcTqnQrEJzn6gyi6iVTfgKinRsi9A6EXXAtAtrpSU08cQQgghOhKXgpYlS5bY00DDhw9nw4ba+4esXbsWRVGqPQ4dOuTyTbek4eddy/VLfuWCtQcoW/Yfdl8QTVwXBasCXZJVBq9Lxm/Oc6w5py8fzzqH9Z//jzKLxeEclu++A+BIP0+6xg6reENV4c8/q1+0PJCZcN0cUgO0ept1sopICNGOzJgxo8YeLLbfIVlZWQ2+xsSJE5kzZ06DzyNaju7poU8++YQ5c+awZMkSzj77bN544w0uuugiDhw4QNeuXWsdd/jwYYf5rNA2vl06wIAxFzNgzMUAHNn9Ozvefx7vvceIPmklMg0i09Lhj1f5Y9GrJPb2J3jyFQR0iqHnMS2I6Tz9/xxPePIkJCVVv9CmTXD//RhNJs70DST0z0zctu9t6o8nhBBCtCq6My0vvvgis2bN4vbbb6dv374sXryYqKgoXnvttTrHhYWFERERYX8YjUaXb7o16jX4HKYtWsnUn/bj//XH7L2yP0e6GykxQmgWDNqSTedn3sV0/wIMwLFoA2Mv+5vjSapODdXweudLbwKgW3xZky3FFkK0H6qqUlBiaZFHU6zz2LhxI+PHj8fT05OoqCjuu+8+8vPz7e8vWbKEXr164eHhQXh4ONdccw2gZXLWrVvHyy+/bM/4x8fHN/r9iaalK9NSUlLC9u3befTRRx1ev+CCC9i4cWOdY4cOHUpRURH9+vXjscceY9KkSbUeW1xcTHFxsf15Tk6OnttscV17D6brc58D2lYBvy+dj3H7XmLiS/Eo1Y6xXnhe9YG1BS3x8VoGJiKCsZfNZv2i/xGRAX+89QTXPft503wIIUS7UFhaRr8nfmqRax9YOAUvt8Zb77F3716mTJnCU089xTvvvENqair33HMP99xzD8uWLWPbtm3cd999vP/++4wdO5aMjAx7+cLLL7/MX3/9xYABA1i4cCHQPjL+HY2uP01paWmUlZURHh7u8Hp4eDhJNU1rAJGRkbz55psMHz6c4uJi3n//fc477zzWrl3L+PHjaxzz3HPPsWDBAj231mpFdO3FNfM/BCAz9TS/vf0kqCpXPfBK9YNrC1oANm+Gyy/HaDKR3DeEiD/S8NxxsInuWgghmt93332Hj4+Pw2tlZWX271944QVuvPFGe11Kr169eOWVV5gwYQKvvfYaCQkJeHt7M3XqVHx9fYmOjmZoeQsJf39/3Nzc8PLyIiIiotk+k2hcLoXAiqI4PFdVtdprNrGxscTGxtqfjxkzhpMnT7Jo0aJag5a5c+fy4IMP2p/n5OQQFRVV47FtSWBoZ66a+3bNbxYXw44dtQ/etAkuvxyArlfNhD+eJybBSvzBbcT0HdEEdyuEaA88zUYOLJzSYtfWY9KkSdVKDTZv3sz06dMB2L59O0ePHuXDDz+0v6+qKlarlbi4OCZPnkx0dDTdu3fnwgsv5MILL+TKK6/Ey8ur4R9GtAq6gpaQkBCMRmO1rEpKSkq17EtdRo8ezQcffFDr++7u7ri7u+u5tbZv924tcKlNpSzM2Etu49d/PU+nVNi89CliXvimGW5QCNEWKYrSqFM0Tcnb25uePXs6vHbq1Cn791arldmzZ3PfffdVG9u1a1fc3NzYsWMHa9eu5eeff+aJJ55g/vz5bN26lYCAgKa+fdEMdBXiurm5MXz4cFavXu3w+urVqxk7dqzT59m5cyeRkZF6Lt3+1TU1BLB1K1RaOp3aTwsSfXYfbcq7EqLlnNoOrwyFveV1W3s/h9fPgcQ9LXtfosUMGzaM/fv307Nnz2oPNzc3AEwmE+effz7PP/88e/bsIT4+njVr1gDa77DK002i7dG9eujBBx/k7bffZunSpRw8eJAHHniAhIQE7rzzTkCb2rnlllvsxy9evJivv/6aI0eOsH//fubOncsXX3zBPffc03ifoj2oGrRcconj8/x82L/f/rTXdXcDEHPSyvZfP2vw5f/87h0+efgK1qxYVK2vjBAtYvdHkHEcvr0f4n+HlfdB0l746Z/a+6oKlpKWvUfRrB555BH+/PNP7r77bnbt2sWRI0dYuXIl9957L6DVxLzyyivs2rWLEydO8N5772G1Wu0lCjExMWzevJn4+HjS0tKwWq0t+XGEC3TnDKdNm0Z6ejoLFy4kMTGRAQMG8P333xMdHQ1AYmIiCQkJ9uNLSkp46KGHOH36NJ6envTv359Vq1Zx8cUXN96naA+qBi2XXQYHD8Lx447HDB4MaE3uVoc/SZdkFY+7n+CHzk+S3a8L/a6/j0FnT633cmUWC39++xanvvuQ8EPpRKRDAMDKw2xc/A5nevkSeO5UJk1/BLNbB5uqE61D4m7ta0kevHsZqOX/Qo7fAH/9DJtfh5Ob4Y61ENKr9vMkbAbfCAiMbvJbFk1r0KBBrFu3jnnz5jFu3DhUVaVHjx5MmzYNgICAAL788kvmz59PUVERvXr1YsWKFfTv3x+Ahx56iFtvvZV+/fpRWFhIXFwcMTExLfiJhF6yYWJrkJwMVavZd++Gf/8bPvqo4rUZM2DZMvvTtZ/9l9L/vUaXZMf/hCcjFNL7htPr6jsYcf4N9tfLLBZ+//o1EletIKLKRpAWA5wJVwhPVXGvlGjJ9IFTPb3xGX8e5854DA8v38b4xELUzVoGz3YGSyEoBlCtYPKEHufC4VWgGCuCmLPugItfqPk8JzbCsosgfAD83x/Nd/8tRDZMFC1BNkzsaDZvdnzu7Q39+8Po0Y5BS5VszMRr74Vr72XPH99x4ONXCDhwiqjTKlFJKlFJSfDbQn4NXUhqbAiUWoj8K4uwTAgrH19qhPhoI0VD+jJm5pMM7DmAtKR41r41H8O2HcTElRKYB4G78mHXSna/vZKT3T3wvuBiLrrjmab9mYiOLe2IFrCYvWHSP+Hnx+DCZ6H3hXD0Fygrrghc9nwCkxeC2bP6eTb+T/uavA8KMsArqHk/hxCiUUnQ0hpUnRo66ywwGrWgpbJDhyAzEwIDHV4edPZU+5TQ4Z1r2fX+Inz2xRF90kqnVOiUmmY/tsQI8TEmSob24+y/LWBQdB+Hc4VExHDN48sByMpIZs3bT2LdvInoY8X4FUD/fUWw70s+3ruV6/9bZUdqIVyhqrBtqZYN6TpKey2pvNg2YgCMvQdGzqoISibNha1L4bJX4Nv7ICsBDqyEwdMcz5t+DA5/X/H8zA7oeX7Tfx4hRJORoKU1qBq02IKVwYPB3d1xKfSWLTCl9p4LsUMnEjt0IgDxB7ex+d1n8dh7BNWgUDpsIONuX8DgqJ61jq8sICicqx5+HYD83Gx+XTYfy5o19D1UwuDVJ/n4rvO4fsmvTn5IIYDj68BSDL0vqHht/1ew6kEwusPNX0LMORX1LJFaDZdDFuWcB7QHwNBb4LenYf3z8Of/tEBFMUBob/DwBypNnZ7eKUGLEG2cBC0traxMC0QqswUtbm4wfDhU3iJh06Y6g5bKYvqOIOZfXzbKbXr7+nPZfS9RdpeFz/42gcF/ZjB4zRk+mT2BaW+sa5RriHasIAN+eBj2lq90GzELLvo3GM2waYn2WlkxrLgBbvu+etBSmyE3wtpnIb3K0v/T2yu+7zkZjq7WMi1CiDZN95Jn0cj279eWM1c2alTF91WniOrr59LEjCYT05b+zu5zQgAYtC6FT2adg1V6H4jaHFoFr47SAhbFACiw7R14/0o48guc2gpGN+gyEopz4KNpFUFLxKC6z+3fWat5iRkHFy+Ce7bD3Vtg4j/BJwJ6nAfjyrtrn9nZpB9TCNH0JGhpaVWDkG7doHJ34apBy+bN0MK9BRRF4fq3N7BrorbiadAf6Xw26xzp7yIcFWTAF3+Dj2+E/BQIiYVZv8ANH4Obr7Z0+aNrtWMHXgs3fQ7BvSDntBa8GN0gtE/d1wAY/w+Y8R2c9TcI6QmhsTDxEXjosDbdFDlYC5ZyEyEnsWk/sxCiSUnQ0tJqq2ep7XlmJhw50rT35KQbXv+NXed3BmDQpiw+n3G2rsDFUlxI2snDTXV7oiUd+h6WjIa9n2oBw9lzYPZ66DIcYi+EmT9qmRC1PAAf/X/gGQA3rAD38mWRYf3A5Nbwe3Hzrgh+1r8Ai2Lhj0oblkqDOiHaDAlaWlp9QUuXLtCpU91jWtAN//uFXRdqTbsGbcvhi1vG1Bm4lBTk8dNrj/L5tOFsGzuM1MlX8Mv4vnw6ewK7fnq/uW5bNJWCDPjyDvj4BshLhpDeMGs1TF4A5kr9GyIGwO2rIfocrc9KxEDt9ZBecO0y8A6FwTfUfA1XdBqmfd32DuQlwcb/ar1gdn8CT4dpq5eEEK2eNJdrSVlZ1ZYvs3mztuS5squvhi8rFdTeeSdU2Qm1pX3890sZvEorhtw32JMrP/gTk1nrpFuUn8OapQso2PAbUUcL8Suo/TzJwZAaG0z0ZTcx8rLZKAaJq9uMwz9oLffzkrXsyth7tdqSysGKs1QVatk53iVb34ZVf3d8bcb32qql1EPg5gP3btc657Zh0lxOtITmbC4nvxFaUtVVQ+7uMGRI9eNaWTFuTa7/z7fsubwPVmDA7kK+uWE03y2+n8+vGcrec0bR7dXv6b9HC1jyPGBff3cOzJpI0dKX2Dm1F0diDFgMEJ4OAzam4/voK2wY25/PbxnDnx+9gLU11stYy1ALslr6LmpmbcLCaKsV0o7Cvi/hlwXwwTXalMuK66tkVxa6FrBA4wYsAL0vAr8uMOQmrX4G4NcFWsAC2lYBP86Fbctg1UOQc0Z7/cgvWlam9f/bTrSg+fPnM6Smv7sriY+PR1EUdu3a1Sz3BLB27VoURSErKwuA5cuXt/ndrmXJc0uqGnwMG6Ytc66qatCyZ4+24sjbu+nuzQXT/v0Vn5quo/+Xe+m3rwj2VTSfy/WEEz09MI0dx/kzFzDSvyLDNHTshQAcObyDre8+i9fuQ3Q7UUZoFoRuyYItS9n00lISe/sSdv4lnH3ToxhaaD8k1VJK0ZqPSf3qIzJ3xmHMg/B7rib0zlbUIXjfF/D13RAYAwOvhgHXQFA3185ltULyXm3lTdJebYfl5P1Qml/9WINZq02ZNM/1YKWp+HeGB8s3HD38o7aS6WR5J+rOw+H0Dtj/pfYA+OtH6H8lbCyvfYkYBN0nNP99dyAzZswgKyuLr7/+2uH1tWvXMmnSJDIzMxvlF+7EiRMZMmQIixcvbvC5bB566CH7po1Q+2dxRUxMDCdOnHB4rXPnzpw6darB526LJGhpSfXVs9gMH651yLUtK7ZaYds2mND6/hK97plP+dR8E30+20GhO5zo6Yn7ORM5b+aTnOXjX+fYXrHD6PXs5wDExx/ij6UL8Ni1j+5xFgJzIXB7Lmz/mK3//ZjEXt4ETjqfc259HKNn0wZvamkxRT+9z4mvPqJwzxk8crUsgBva1+RXvkCxWgi5699Neh9O2bWC/DfnkLTNF4+AJIIO/xvPNU9ry4kHXKP9IvYNr/scGXFwfK32iFsHhZnVjzF5QHh/rRYlYqD2Sz2sH7j7NMWnalw9Jmmrl0pyteeTF2oN7ra+rQV6KJAZVxGwgLbSSYIWUQsfHx98fJruz/7ChQv529/+Zn9uNBqb7Fr1KS0txWw2t9j1ZXqopaiq80GLl5d9d2e7VjhFZHPd/A8J+fFbBv2+les+3cHl972ITz0BS1UxMX24aeEKrl65l/CffmTn9FHs6+tGvjv4FUDs7nzCFn/DzjEj+Obqoax9+X5K82r45eoitbiQnC/+y7abx7Fz9GDiH/oP6h+JeOQqFJtgc6zC65d480dfBaNVIfm/35D+yoONdn2XbH+XnP8+wMm1gZTkmMlJ8CT+51BOrAkhd/Me1B8egRf7wHtXwM4PoChbG1eQAfu/1upRXh4MrwyB7+bAga+1gMXNF7pPgrPvh6vf0fqgzD0Nf1sDl74MI2+HqLPaRsACYHKH2Iu074O6Q/TZcNELcPdWuHcn3P6LFuQZTNoGjaBtvNhWqSqU5LfMo4mm1TZu3Mj48ePx9PQkKiqK++67j/xK/a6WLFlCr1698PDwIDw8nGuuuQbQMiDr1q3j5ZdfRlEUFEUhPj6+2vn/+9//MnDgQPvzr7/+GkVRePXVV+2vTZkyhblz5wKO00Pz58/n3Xff5ZtvvrFfY+3atfZxx48fZ9KkSXh5eTF48GD+/PPPej+vr68vERER9kdoaCgAqqry/PPP0717dzw9PRk8eDCff/650z9HgG+//Zbhw4fj4eFB9+7dWbBgAZZK0/GKovD6669z+eWX4+3tzdNPP63r/I1NMi0t5cgRbflyZbUFLbb3dlTq6NmKgxaATk5uFeDUuTpFc+NjywFISktizdL5GLZsotuxYvwKoff+Itj/M3vf+ZnT3d3xGTuas2+fj1uQvqJKtSiflC+XcOTbL/A6lIVnoYKWw1EodIMdPRT29wqmeMTFXD3sMm7t0Y83/lzF+v88zPj9kPTa9ygWC0EPvlLPlZrAlrfIfOUJkrYHgKrgM2kSBl8fcr7/gYIUKEgJxi3IRFCPNPwtv2E4/ht89yAE94CUgzi0uzeYtF/a3SdB94na9Imxnf1VMfYeSNylTWUpivYI7a295x0CM3/WMjF5qfC/4XBqG5QWtb5pL2eUFsCzneo/rin884y25LwR7d27lylTpvDUU0/xzjvvkJqayj333MM999zDsmXL2LZtG/fddx/vv/8+Y8eOJSMjgw0bNgDw8ssv89dffzFgwAAWLlwIYA8AKps4cSL3338/aWlphISEsG7dOvvXu+++G4vFwsaNG3nggQeqjX3ooYc4ePAgOTk5LFu2DICgoCDOnNHqpObNm8eiRYvo1asX8+bN44YbbuDo0aOYTPr/H3vsscf48ssvee211+jVqxfr169n+vTphIaGMsGJTPxPP/3E9OnTeeWVVxg3bhzHjh3jjjvuAODJJ5+0H/fkk0/y3HPP8dJLL7VolgckaGk5VYOOyEiIiqr9+NGjYckSx/GNvcKiDYgIieDG8v2QUjPT+fndhfDnBrodKyQwD3oeKoZD6zjw/iTOxJjxHjOSMbc/iVtY1xrPpxbkcGLFS8T9+B3+R3LxLFIIBkAhzwN29jRwvHcXPMddz82jLuX2oBCH8XeOncrishLWvvIYE/dC4ls/Q9ndBP3j1Zou1yTUP/5L+uJ/kbo3AICAa68lYv6TKEYjYQ88QMb7H5D1ySeUZOSTlBFA6qEIgvpZCeh0AlPZAe0koX21AKXHJNROI7Hkl1KWno4lIZOy3T9g8PTEHBWFuXMXjD76fgmpqoo1O5uSU6cpPXUSc2QknlUzh80tcjDcs7X29w0Gbe8idz/wCdcKjE9v0/ZFEk3mu+++qzbNUlal2/YLL7zAjTfeyJw5cwDo1asXr7zyChMmTOC1114jISEBb29vpk6diq+vL9HR0QwdOhQAf39/3Nzc8PLyIiKi9n/UDBgwgODgYNatW8fVV1/N2rVr+fvf/85LL70EwNatWykqKuKcc6r/efDx8cHT05Pi4uIar/HQQw9xySWXALBgwQL69+/P0aNH6dOn9kaKjzzyCI899pj9+bPPPsusWbN48cUXWbNmDWPGjAGge/fu/P7777zxxhtOBS3PPPMMjz76KLfeeqt9/FNPPcXDDz/sELTceOONzJw5s97zNQcJWlpKTVNDdQUgVbMwSUmQkADR0Y1/b21EaGAwN815GeZAZl4O37/7DGUbf6XbkXxCcqDbkVI4spFDH04hMdqE56ihjPrbE5h9gzn4/r8488tqQo4V4FGsoP3VopDjCbt7GTndtzddL/gbN404D2/3uhuczRl3Fc+XlbJmyQLO3QOJS39FKbuDwEffbPKfgbpuEcn/eZnMv7SlhMGzZ3Ps0unc8+Zmzu4Zwj2TehL+8D8I+b87yfrsczLeew9LUhKpmyHNPRqf4X1QTb6UHcrHsnInZem/Ys3Lq/OaxoAALYDp0hm3Ll0wd9G+N4WEYklJpvTUKUpOnqL05ElKTp+i9OQprLm5FScwGIj5eAWeg+pp0d8aKIo2fbT/S22KqC0GLWYvLePRUtfWYdKkSbxWpZ3D5s2bmT59uv359u3bOXr0KB9++KH9NVVVsVqtxMXFMXnyZKKjo+nevTsXXnghF154IVdeeSVeXs7fi6IojB8/nrVr13Leeeexf/9+7rzzThYtWsTBgwdZu3Ytw4YNc6mOZVClP/eRkZEApKSk1Bm0/OMf/2DGjBn25yEhIRw4cICioiImT57scGxJSYk9SKvP9u3b2bp1K888U7GQoKysjKKiIgoKCuw/sxEjRjh1vuYgQUtLcbaexaZnTwgKgowMx3M0VtDy+efw7bcwdizMnAktWGjlikAfP266+99wN2Tl5/Pth/+i9Pcf6XYkj4hM6HrcAse3cuSTS7EYwb0UugCgkOUN+3qaSR04iAGX3cesjAKM774LG3bDoHOgnqAF4OGJ03iqrJRf3nqW83dB4vL1YLmNwHlL6w5GLcVY9/9E3sr3KDp8FK+BffC+fAZKz3Pr7garqqi/PM2ZRW+Tc0L7izPs0Uf5KGosL73zOwbfvexY1401B5N5adoQeoX7EjzzNoJunk7Ojz+SvnQZxQcPkrtxT83nN5kwBgZgCgrGGBiINS+P0lOnKMvKsj+K9u6t9+ficMrQUBSzmdIzZ0icN4+YL77AUNNqudYmeqwWtMT/DhMebum70U9RGn2Kpql4e3vTs6fj1HLVVTJWq5XZs2dz3333VRvftWtX3Nzc2LFjB2vXruXnn3/miSeeYP78+WzdulXX6qOJEyfy5ptvsmHDBgYPHkxAQADjx49n3bp1rF27lokTJ7ryER2KWJXyvxus9WzNEhISUu3nYhuzatUqOnfu7PCeu7tzqyutVisLFizgqquuqvZe5X4r3q1opaoELS0hP19btlxZfUGLomjHfP99xWubNsG0aQ2/n7fegvJ5TN57D954A5YurblnTBsQ4O3NzXc8BXc8RVZBAV9/+iKl674l5kgOXdLAaIV0XzjU053soSM5+5qHuL1bb+0vkN9+g8mTK1Zqvfaa9vO54IJ6r/v4edN5rKyEn5YvYsoOSPpgE6rlFoKefM8xcCktxLLta3JXriBv60HyzxhRrdr76dt2Y/zoPvy6W/GfNAqPC6aXBzCV/hJSVayrHuPUfz4iP9ELjAp+85/mgdwu/L7hFzy6fYbRPRUsHhw8fTNT/5vHoxf14dYxMRjMZvwvvRS/qVMp2LyZwt17MPr7YwwKxBQcjDEwCFNQIAY/vxob+5WVBy+lp05RckrLopSeOkXJ6VOUpaZhCg/HHBWFW5fOWgYmqouWjencGYOnJ5bMTI5fMpXiI0dJf/0NQu+7t9o1Wh1bduXkFq3lf2NsLSBcNmzYMPbv31/tl3hlJpOJ888/n/PPP58nn3ySgIAA1qxZw1VXXYWbm1u1Kaea2OpaPv/8c3uAMmHCBH755Rc2btzI/fffX+tYZ6/REP369cPd3Z2EhASnpoJqMmzYMA4fPlznz7K1kaClJWzfXvFLEbTlzMOH1z+upqCloXbsgHur/OLYuRNGjoRHHoHHH9ea3rVRAV5ezJjxGMx4jOzCQr78egnFOemce/m9nBMR6XjwmTNw/fWO/20SEmDKFLjtNvjPf6p3MK7i6Qtm8g9rCd8bXuHibSrJH2+DshsJevxtStatIPe7z8jdcZzCVCOgYPtfMNPfyJEINwYlFONRCJkHjWQe3IHb+1vw616G/3ljcRt3PfQ4F8u3j3Pyxa8pSvdAcTNR8Pi/mHHERKb7+3jFrENRVAxWFaupCO+otylIupoF31r55WAyi64dTKS/J4qi4D16NN71BctVGH18MPbpg0cdqey6mAIDiXjicU7PeYC0N9/Eb+pUDN5enL7vfrxGjybsgTn2Y1VVpWjPHjz69UNpycxfaB/wDtM2fYxbB70m1z9GNJlHHnmE0aNHc/fdd/O3v/0Nb29vDh48yOrVq/nvf//Ld999x/Hjxxk/fjyBgYF8//33WK1WYmNjAa3vyebNm4mPj8fHx4egoCAMNQTotrqWDz/8kG+++QbQApm//13rrFxTPYtNTEwMP/30E4cPHyY4OBh/f32rJ53h6+vLQw89xAMPPIDVauWcc84hJyeHjRs34uPjY69TqcsTTzzB1KlTiYqK4tprr8VgMLBnzx727t3b4quEaiNLnltC1WBj0CDnGsVV/QWzYwcUF7t+H5mZcM01NZ/DYoFnnoGhQ1v9SiVn+Xt6ctsNf+fO2c/Su2rAYrFoAUtKSs2Dly2Dfv3AiWZRL1x4Jwk3zOa7keV9XD7bxdGxQzh2739I+SmBwlQToHA8QmHFeAMP3m5k9v/BoqtKue1ehWeu8mN/nwgwGSjJNZG2251jL24n/vb7ybgtlhP//oaidDcM3h7smPMc1x04Q27wC7iHrEVRVC7ZmMXqBw8zZXM2qkHFs9PneIX9xB9HU5ny0nq+2XW6YT/IBvKdMgWfCRPAYiH5mWc488ijFO7eTfqbb1J87Jj9uKxPPyN+2vWkvPhSC94tWpas/5Xa97tXaF/3fg5Hf225e+rABg0axLp16zhy5Ajjxo1j6NChPP744/b6kICAAL788kvOPfdc+vbty+uvv86KFSvo378/oBXCGo1G+vXrR2hoKAkJCTVeR1EUewZj3Lhx9mv7+/szdOjQOlvS/+1vfyM2NpYRI0YQGhrKH3/80Zg/ArunnnqKJ554gueee46+ffsyZcoUvv32W7p1c66Z5JQpU/juu+9YvXo1I0eOZPTo0bz44otEt+JaSdl7qCVcdRV89VXF8//7P8eVQbXJztb+pV/5P9mmTTBqlP57UFW44gpYubL+YxUF7r8fnn661XXhbTSPPALPP+/csdddB//9L4SF1XnYnStfIOaLZVy+WfvvZTHA/q4KW3srbOulkOGngGoiyNSd/kGDCPcJZGXcZ5SQBYBbnh/nHurDjadS8Th0xGFVsjHQhzeveoSVyu+4hfyGolgJzLHw5PLTnLdDK3q1KvDqlWG8eZl2n94lQ0k6fhWoZi4d3ImnLx+Av1fLZDBKTpzg+NRLUUtLHV73u+xSOpf/d0iYPZv8desx+vvTa8N6lJasfzm9Hd46V2uqd+kr8NUd2vcPx4GbvmLTpiR7D4mW0Jx7D0nQ0txUVdu1OSmp4rV334VbbnFufP/+cOBAxfPFi7WAQq8XXoCHqxQVjhmj1XM8+6yWeaiqe3d4+22YNEn/9Vqzb77RArjKunaFBx6AJ56AyitfbIKD4ZVX4IYb6iy0nfn105j+XIFBhZ09FIrc/Ihw78OQsCFc1Gs0Y7oMxt1YMf1WXFbM27tWsHz/OxSpWQBYSwKJSBvHA4WB9N31GyVWeGj4xcR1WonRQ1sVMnlrNo+9d4ag3PKpLbMZygOClWMDeHJmJywmA6HmXpw4OI2yUh8i/Dz419UDmdA71F4Q2JxSFi8m/fU3AAi88UYyP/oIDAZ6/PgD5k6d+GvUaKzlDcO6LHkV33PPbfZ7tFNVePUsSPsLFCOo5T/nW7+FbuO1Bn1uPi1e7yJBi2gJErRU0a6ClpqWKR8+DL17Ozd+1iytSNbm+uthxQp997B+PZx7rmPtRkiINt0UFQW7d2vX2b695vF33KFlJRo6T7t3L/z+e80Bkis8POD888HJ1CgAx49rez5lZ1e8ZjZr93XWWXDypLarduVaosqmToXXX4cq1fs2qqqy+M8vKCgt5LI+YxkQ1t2pAKHIUsT7+z/h7T3vUGDVmhBaSwIxZJ9PKbmYQlajKGX4GHx44p04LlyXjP2s7u7af+P77tN2DQe29fZizn1dyfYxEeweTlniTE4ma//9wv3cGdcrlPG9QxnXM4RA7+b5xWstKOD0Px7GHBZG+MABnPzkU/J378b/mqsJnHY98ddeaz/W96IL6fJSC08TrV8Ea55yfG3iXOh7mZaF6XMxXLO05rHNRIIW0RIkaKmiXQUtn37quOInMBDS051vEld5pQ9ATAzExTl//aQkrU6lcqZHUeDHHx1XyFgsWuHpk0/WXPPSubO2yqi8SZIu6eladqhSn4VGYzDAQw/B/Png6Vn3sUVFcPbZjp2GAf73P7j77ornqgoffABz5jguObfx84NFi+D22xu92V+RpYiPDn7Mm7vfIb8sy+G9c8LP4aknNxCyZb/joLff1oLOhATtv3X5PZ8Id+PuB2I4EeGGl8mboR73snZXEEWlFcstFQUGdfbXApheoQztGoDZ2ISlb6WlcM45sGULBR6enIiORjGbCbzlZjLeWYq5a1dKExJQ3N2J+fQTKCvDvW/fFskMkXUSFg8EVOh7KRwsz7KED4RNr4JnEDyi4//FJiBBi2gJzRm0SCFuc9PbVK6qqsW48fGQnOzcWIsFbrzRMWABLTCpuqTXZNLqPHbv1n6pVHX6tJZlmD5dC0Kcoarw2WdaQWtTBCygbSb5/PPaXk3lrbtrNWdO9YDl+uvhrrscX1MUuPlmbVqufA8TBzk5WiB5/vla5qYReZg8mDlwBr9d/zN/H/4QPqYAPI0+PD32aZZ8lFc9YJkxQ+uzA9oU1wcf2N+KTi7hw6eOMeJ4KQWWfP7Mf55/Xp/BezNHcsf47vSJ8EVVYfepbP675ijXvfEnwxau5o73tvHT/iSa5N83K1fCli0AeBUV4lFailpaSsbydwEIvP563Lp3Ry0uJu7yK4i76mpyvvuu8e/DGQFRcN27cOWbMKm8O+nJrRU7QxdmaNNEQogmI0FLc9PbVK6qfv2gahfG8imAej35pNaHpLILLoBK7aGriY2Fdeu0wtOainA//FC7p88+q3tztMREuPpqrYi1thU6jenIERg/Hu65p+aalPff1zJFlfXpA2++WXsQGR6ufc4vvtC+r2rNGhg4UKszauQeDZ4mT2YMuJX1N6xh/fW/cfnaFJT3P3A8aOBAePVVx/u/6CKH/77++WW8+cxfXH7ME6tq5YVt/+K9+H9y3RgzP84Zz+Z/nscL1wzi0sGdCPQyk1ts4ecDycx+fzuz399OSk5Ro34u3n/f4WlQavmfjfKfn9dZZxF0y80Ox+R8/0Pj3oMe/S6HwdMgNBa8gsFSCLmJFe9nNG7QKoRwJNNDzam4WKsDqTzd8tNPTjUuc3DeedovSJu5c7Xi2bqsWqVlRirr0kXLNNSwYViN4uO1jMLq1TW/f+WV2i/NyErLiVVVa1g3Zw5kZVUf4++v1ZQ0lKrCxo1QUlL9va5dHRvE7dunrbgqKKg4xstL+xd/+bLIemVkwIMPakXUNRkzBt55B/r21fc5nLFjh9a5uPKfI19f2Lat5tqosjLts1f6M6MCy/9zPf8L/YsSawlGxci02GncNeQu/N21WherVWXfmWy+25PI0t/jsFhV/DxMPD61H9cM79LwKRqLRQv+Kk25qcDRwUOwFBVh8PGh9+ZNKEYjZdnZlJw8Rfw116B4etJ7058YWrp/0Mc3waEqWZ8r34DB17fM/SDTQ6JlNOf0EGobkJ2drQJqdnZ2S99Kw2zerKrar9eKR2am/vP885+O55g0qe7j4+JUNTDQcYzJpKobN+q/ttWqqkuXqmpAQPXPAtrry5Zpx504oaoXXljzcaCql1+uqqdP67+H2uzfr6qjRtV+vdtuU9WEBFWNja3+3gcfuHbNH35Q1aiomq/n5qaqzzyjqiUljfcZMzJUtVu36tf67LO6xyUnq2qnTo5jFEVN+PYD9b5f71MHLB+gDlg+QD1nxTnqJ4c+US1lFofh+09nq5e8sl6NfuQ7NfqR79Sb39msnszIb9hnWbu2xp9bWq9e6oHYPurJe+51ONxqtap/jRuvHojto+Zu+L1h124MG19V1Sf9tMfLQ7Svvz7VordUWFioHjhwQC0sLGzR+xAdS11/7hr793fHzbScPAn1bAzX6FasgKcqrT7o29dx+bKzvv0WLrus4rm3t5YlqOlfvqoKt96q/Su8MleXStucOaPVfpR3iqzmnHNg166af8ahodp003XXNf4u1WVl2lLkefOgsLD6+0Zj9ambO+/U2vW7KjcXHn209l47Q4bASy/VPKWk16OPVu+tM2eOdv76/P47TJzo+PmDgmDVKv7kBM8nvMvRwpMAxHpF80jX2xjp189+qMWq8tb+bF7alUmJVcXbpPDI8CCmx/phUBRt9VZMjPP/Tf/+d3jxxWovq0DO66/jdeWVmA0GbXm5ooCqkvjww2R9+x2BN99MxLx/agNKS7WtMXTsK9Mokg/Aa2PANxJGzYZf5mtN6K5d3rz3UYlkWkRLkExLFU2Sabnsstr/Rd5cj9tuc+3ek5Mbdt1rrtEyIQ1ltarqxx+ramio89e+8UZVTU1t+LXrc/SoloGq736GD1fVxvpX6dq1qtqzZ/P+GRozRlWLi52/x0WLaj1XqQH1g/OD1DGv9rVnXh68K0o9HWx2OO5oUGf16pv+bc+6XHvjv9RjgeVZnKFDVTUpqf77sFpVtUeP2j/Xk0+q6vjx2vf9+6vqnj2q2quXmu3jox6I7aMemXyBdp7Vq1U1KEjLHM6d69J/tgY5ukZVkw+q6qHvtUzLa+c0/z1UIpkW0RKaM9MiQUtLPt54w/X7797dtWv26qWqjT3NlpqqBSN1XbdTJ1VdubJxr1ufsjLtZ+zrW/M9BQSo6vHjjXvN/HxVfeghVTUYmv7PT0iINt2lh9WqqldcUed5M3yM6sJbItVBS/urA5YPUIe/2U/94Pwgh2PKUNTlw6aqfR/4TI1+5Du194NfqK+fdZVaqhi0YLG0tO77OHLEpc9sUQzqgd6x6oHYPmrBzp2qGhPjeMyOHS7/p2uQ1L+0oOXpyMb5B4GLJGgRLaE5gxZZPdRSFEVr8OaqyS5s2ubpqa18aexi5pAQbRXRypVat9+qbr8d9u+HSy9t3OvWx2DQCof374eLL67+/nvv6WtE5wwvL63b8J9/Ol/U6wpF0X7mUVH6xy1bBj161HpIYF4Zj7+XyKdPHmPEoXyK3Qz8a3onfhpZ8efGgMqtO77jp3fuZlzcDorN7jw3aSZTZ7zM1r+StZVqddm3T999lzOqVrzLu+TG33gTyfn5lXc3aLql9PUJiNY65ZbmQ25S/ceLambMmIGiKNx5553V3rvrrrtQFIUZM2Y06Brz589nSBvdvV5oJGhpCUFB2i+2hmwH/sQTMGGC9ovZGV27agHLwIGuX7M+l16qBQh3360FMqNHayuN3nqr+esNKouKgu++05bX9u6t1Za8+WbTBlFnnaV1FF6wQFul1ZjCwrSVSXpXndkEBGiryUaMqPOw2JNFLP1XHLf8mAbA47d34a8ujit2onJSeO/TJ3j++8UEFOZwKKwb105/ngd3FZL61araT374sOPzUaO0FVBOiExOwicvF6xWMoKCyfOu1ALg55+dOkejM7lBYLT2ffrRlrmHdiAqKoqPP/6Ywkr1aEVFRaxYsYKuXbu6fF5VVbE0Vudt0aI6btDy1VdaQWJLPNLStCLEhujUCdau1YoQnbnmiRNaz46mFhCgdZRNSdGyDeef3/TXdIaiaI3wDh/Wmuv97W9Nf013dy24TEho3D8/SUlw220Nu7fYWNi6td5rKWVlPPD+CUZHjKbQ3cD9iyeRXZBR7ZjrXl/Ab0vv5oZdP6CoVr4ceB7nbihg2bfbsZRZq1+/atAyaBBceKFTt262WIg6fRr/7CwACrwqdT7eu1dbmt8SgsqzVxnH6j6umamqSkFpQYs8VFWt/wYrGTZsGF27duXLL7+0v/bll18SFRXF0KFDHT7T888/T/fu3fH09GTw4MF8/vnn9vfXrl2Loij89NNPjBgxAnd3d95//30WLFjA7t27URQFRVFYvnx5g3++onmZWvoGWoyzGYrWrrV+jpZos95aKUrr/Xk48efHZHDjhQkvcP2q6zmVd4qHf3+UJectwWgwVhw0diyBTz/Jc3PmMG3Pap6YfCd7Inuz4I8kPjm6gaeuHMjImKCK46sGLbGxFc37nORdUEC2fwAFnlV2WV65Utt3qbkF94Sjq1tdpqXQUsioj1zYCb4RbL5xM15mfbtg33bbbSxbtoybbroJgKVLlzJz5kzWrl1rP+axxx7jyy+/5LXXXqNXr16sX7+e6dOnExoayoQJE+zHPfzwwyxatIju3bvj4eHB3//+d3788Ud++eUXAPwbun+aaHat9DeeEKI1CfAI4OVJL+Np8mTjmY28vPPl6gfddx9ccw1DEv/iq/cf4pkf/6dNGSXnce3rf/Lgp7tIzS1viHfokOPY2Nia647q4Fk+hVDk4YG1clB4//3a3li2R5cuWjfmhARd59ctuDzTsvcLOLBSKw0Wut188838/vvvxMfHc+LECf744w+mT59ufz8/P58XX3yRpUuXMmXKFLp3786MGTOYPn06b1Tpcr1w4UImT55Mjx496Ny5Mz4+PphMJiIiIoiIiMCzvv3JRKvTcTMtQghdYoNiWXj2Qv6x7h8s27eMfkH9uLBbpSkdRdFqbXbvxnjkCDft/pGL/trIC+Nv4eMhU/hyx2lW70/msYlRTKu68WSfPlqtV2SktuWDE8ylpZhKS7GYzRR6eOJdWKnD8Zkzjgd/+aW2k3f5v7CbRL/L4feXIOc0fHozjLwdLvlP013PSZ4mTzbf6ORWH01wbb1CQkK45JJLePfdd1FVlUsuuYSQkBD7+wcOHKCoqIjJVRYjlJSUOEwhAYyop25LtD0StAghnHZhzIUcSD/Asn3LeGLjE3Tz70ZsUGzFAX5+WsH3qFFQWEhQYQ7P/fQ/pv21nif+bxF70kt45Kc4hoREE5t2QhtjNmtN6UDbpHPOHKfuRUHLtuSazRR6VglaavLrr3DqVOMXRtv4hMHdW+CPxbB+EWx9GyKHwLCb6xvZpBRF0T1F09JmzpzJPffcA8Crr77q8J7VqtVIrVq1is6dOzu8515lawfvmvZLE22aTA8JIXS5f+j9jO00lkJLIff/dj9ZRVmOBwwcWK3D8JC4PXy1bA7n9dLqWt4fWmkqqGdPbVdxgNmzK/ai8vHRVgPZ9rLq2hV+/FFbVl7Oq3yKqGD4cOfqhr791unP6RJ3Hzj3MZg0T3u+6u+QuLtpr9kOXXjhhZSUlFBSUsKUKVMc3uvXrx/u7u4kJCTQs2dPh0dUPS0A3NzcKGvkzUxF85KgRQihi9Fg5Pnxz9PFpwun807zj/X/wGKtspz01lu1/jyVxx08wKzfPwXgq/6TyHUrnzro06fiIA8PbVXTrl2QnKz1I4qP1zaJPHYMpkzRVqb9+iv89BNey5cBUJiejnrypLYBaeVHpWkFoPZtJxrbuL9DrylQVqxlXIQuRqORgwcPcvDgQYxGo8N7vr6+PPTQQzzwwAO8++67HDt2jJ07d/Lqq6/ybm0bmJaLiYkhLi6OXbt2kZaWRnHlTUdFmyBBixBCN393f14+VyvM3ZS4iZd31FCY+8or2r5LlYxZvpge6SfJd/fi6/6TtBdjYx3HGQwweHBFRsXNDYYOrcjGeHtrjRkvuAD3qVMxeHtjzc8n7+BBrXdN5UeVqQXWrIGcnIb/AOpjMMCQG7Tvk/c3/fXaIT8/v1r3qnnqqad44okneO655+jbty9Tpkzh22+/pVs9zSKvvvpqLrzwQiZNmkRoaCgrVqxoilsXTajjbpgohGiwn+J/4qF1DwHw73H/5uLuVVYAHTsGw4drRbDllg+byvzJd9Ir7QQ/v3M3yrJl0IBOpymLFpH+9juYQkPp/u1KjJUbGebkaNmW0tKK17y84JprtGDo4ovhyitdvnadUg/Dq2eB2RvmnmqW9gSyYaJoCc25YaJkWoQQLpsSM4VZA2YB8OTGJzmcUaX/So8eUKWB11X71uBRWsSRkGh2dOpTPdOiU8g99+DWrRuW1FSSnn3W8U0/P5g0yfG1ggJtC4e334arrtLVG0aXoB5gdNda+2edaJprCNHBSNAihGiQe4fey9mdz6aorIinNj2FVa3SAfeKK+Chh+xP/UoKuPjQHwB8Nmhyg4MWg4cHnZ57FgwGclZ+S8HOnY4HXHZZ3Sd48cUGXb9WRhOE9ta+TznQNNcQooORoEUI0SBGg5GFYxfiafJkd+puVh2vYc+hZ5+FiRPtT6/buxqA7wZMosCn4SljzyFD8L/yCgDSljiuXGL6dG3lUW02b9a2RmgKYf20rxK0CNEoJGgRQjRYmFcYdwy6A4CXtr9Efmm+4wFmM/zwg7YU+h//YNT1FxFtKiXP6MbLvxzh8a/38fP+hgUOIbNng9FI/oYNFO7ZU/GGvz/88Qf85z/wj39oHXMrU1VtQ82mYAtakiVoEaIxSNAihGgUt/S7hSjfKFILU3lzz5vVD/DwgDvvhOefR3n+ea49tz8Ab6w/zvubTvDQZ7sprWlzRSe5de2Kf/nO3WmvLnF8s0sXePBBeP55WLwYrrvO8f2VK12+bp3Ctc8omRYhGocELUKIRuFmdOORkY8A8N6B9ziRU3fx6TXDo/DzMOFhNuBpNpJTZOHPY+kNuoeQO2eDwUDeunWUnKjj+pdf7vh89WrIz9e2EFixAt5/v+Lx229gsdR8nvqE9dW+ph8Fi/QEEaKhJGgRQjSa8V3Gc3bns7FYLbyw9YU6j43w92D9w5PY9thkrhymtWP/YV/DpojcYmLwPvtsALK++qr2Ay+6CCo3LSsqgvnzISoKbrwRbrml4nHuuVpTO6sLWSC/zuDuD1YLpB3RP14I4UCCFiFEo1EUhUdGPoJJMbHu1DrWn1pf5/EBXm74uJu4sH8EAKsPJFFmbVjrqICrtL4r2V9/g1pby/bAQBg/3vG1RYugtuPXrNFqcvRSlIpsS8pB/eOFEA4kaBFCNKpu/t2Y3m86AC9sfYHSstJ6RsCYHsH4e5pJyytha3xGvcfXxefcczH4+2NJSiL/z021H1h1iqg+rm4BYKtrSdzl2nghhJ0ELUKIRjd70GyCPYKJz4nnw4Mf1nu82Wjg/L7hAPzYwCkig7s7/pdcAkDqK6+Q9vrrFP31V/UD6+vfUtW337o2RRR1lvb15Gb9Y4UQDlwKWpYsWWJv1zt8+HA2bNjg1Lg//vgDk8nEkCr7kQgh2hcfNx/mDJ8DwGu7XyO1ILXeMRcNsE0RJaOqKsdT87h16Ra2n8jUfX3/q68CoGjPHlIXv8zpBx6sflC3btqO1DW5+mo4XKW7b1ISbNum+16IGqV9PbMLSgv1j+8ALr30Us4///wa3/vzzz9RFIUdO3YA8MUXX3DuuecSGBiIl5cXsbGxzJw5k51VmwqKdkl30PLJJ58wZ84c5s2bx86dOxk3bhwXXXQRCQkJdY7Lzs7mlltu4bzzznP5ZoUQbcdlPS5jYMhACiwFLN6xuN7jz+4ZgrvJwOmsQv5KzuOVX4+w7q9UXv3tqO5re/bvT6cXXiDwxhsBKImLQy0pqeEma8m2XH459O5dvVuvK1NEgTHgEwHWUji9Q//4DmDWrFmsWbOGEzWs+Fq6dClDhgxh2LBhPPLII0ybNo0hQ4awcuVK9u/fz5tvvkmPHj345z//2QJ3Lpqb7qDlxRdfZNasWdx+++307duXxYsXExUVxWuvvVbnuNmzZ3PjjTcyZswYl29WCNF2GBQDc8+aC8DKYyvZk7qnzuM93Yyc3TMEgFV7zvDzgWQAtsZlYHGhf4v/pVMJf/wxFE9PsFopPXOm+kG1BS0Xl2/8WLXuxZV+LooCXcuzLQl/6h/fQKqqYi0oaJGHs/vxTp06lbCwMJZX2aeqoKCATz75hFmzZrFp0yaef/55XnzxRV588UXGjRtHt27dmDBhAvPmzeP7779vgp+eaG1Meg4uKSlh+/btPProow6vX3DBBWzcuLHWccuWLePYsWN88MEHPP300/Vep7i4mOLiip4GOc2xlbwQotENDB3I5T0u55tj3/Dc5uf48JIPMSi1/1vp3D5hrDmUwhvrj1Ns0QKV3GILBxJzGNQlQPf1FUXBrUsXio8coeTkSdxiYhwPGDGi+qAuXSA4WPv+ssu0hnQ2+/bByZPa0mg9uo6BA9+0SF2LWljI4WHDm/26ALE7tqN4edV7nMlk4pZbbmH58uU88cQTKIoCwGeffUZJSQk33XQT8+fPx8fHh7vuuqvGc9jGiPZNV6YlLS2NsrIywsPDHV4PDw8nqZa9O44cOcKjjz7Khx9+iMnkXIz03HPP4e/vb39E6f0LQgjRaswZPgdvszf70vfxzdG6p1fO7RMGYA9YbBrSdM5cvu9QSU1T2AYD3Hef42tz51Z8P3q0tg1AZfv26b8JW13Lyc2uFfN2ADNnziQ+Pp61a9faX1u6dClXXXUVgYGB/PXXX3Tv3t3h98iLL76Ij4+P/ZGdnd0Cdy6ak65Mi03ViFZV1Rqj3LKyMm688UYWLFhA7969nT7/3LlzefDBisK5nJwcCVyEaKNCPEP4v8H/x6Jti1i8YzHnR5+Pr5tvjcd2CvCkb6QfBxO17Oq1w7vw2fZTbDqezuwJPVy6vlv53x2lCSdrPmDhQtizBzZuhKuugtmzK94zGqFPH21TRZtDh7TmdHpEDASzFxRlQ+ohCO+n81O4TvH0JHbH9ma7XtVrO6tPnz6MHTuWpUuXMmnSJI4dO8aGDRv4+eefK85X5ffMzJkzueyyy9i8eTPTp093ejpKtF26Mi0hISEYjcZqWZWUlJRq2ReA3Nxctm3bxj333IPJZMJkMrFw4UJ2796NyWRizZo1NV7H3d0dPz8/h4cQou26sc+NxPjFkFGUwRu736jz2PPKsy29w324dWwMAFvjM12qawEwd9WClpKTtQQt/v5aq/78fK2Ff+VOuVC9GLfqqiJnGM3QuXyK5tQW/eMbQFEUDF5eLfLQO2Uza9YsvvjiC3Jycli2bBnR0dH2xRu9evXi2LFjlJZW9P0JCAigZ8+edO7cuVF/ZqL10hW0uLm5MXz4cFavXu3w+urVqxk7dmy14/38/Ni7dy+7du2yP+68805iY2PZtWsXo0aNatjdCyHaBLPRzCNnafsSfXjwQ7KKsmo9dsbZMUwdFMn8S/vTN9IPPw8TecUW9p9xrbbNLUqbHiqtLWixqW36uk8fx+euBC0A4QO0r9LOv1bXXXcdRqORjz76iHfffZfbbrvNHvjccMMN5OXlsWTJknrOItoz3dNDDz74IDfffDMjRoxgzJgxvPnmmyQkJHDnnXcC2tTO6dOnee+99zAYDAwYMMBhfFhYGB4eHtVeF0K0b+d0PoeeAT05mnWUbcnbOD+65r4cIT7u/O/GYfbno7oHs/pAMp9sO8mgLv66//XuFtUFgJJTp2qdyq5TY2RaAILLp7fSj7k2vgPw8fFh2rRp/POf/yQ7O5sZM2bY3xszZgx///vf+fvf/86JEye46qqriIqKIjExkXfeeUfLKBmkX2p7p/u/8LRp01i8eDELFy5kyJAhrF+/nu+//57o6GgAEhMT6+3ZIoTomEZGjARgS5LzUyTTRmjTOx9tTuD1dcd1X9PcqRMYDKiFhVhS629yV03VoCUxEVxZ0RjcU/uarr/vTEcya9YsMjMzOf/88+laXkRts2jRIj766CN27tzJ1KlT6dWrF9deey1Wq5U///xTSgk6AEVtA5VLOTk5+Pv7k52dLX8ohWjDfjnxCw+sfYCeAT356vI6dmGu4u0Nx3l6lbbh4PuzzmJcr1Bd1z163vmUnj5N9Icf4DVc5/Lf4mLw8nJc9bN1a83LpeuSdRIWDwCDCeYlg9GldRB1KioqIi4uzt6xXIjmUNefu8b+/S25NCFEsxkRrv2iP5p1lPRC55cx3z6uO1cN04otfylvOqeHvRi3thVEdXF311r+V3bokP7z+HUGkwdYLZBVvfOrEKJ+ErQIIZpNgEcAvQO19gfbkvXt4zMxVltVtOuU/l4cFcW4Lk5dN0Zdi8EAQeV1LRn6p7mEEBK0CCGa2VkR2q7HW5O26ho3pLwj7sEzORRbynSNdWtIpgUasRi3u/ZV6lqEcIkELUKIZuVKMS5AVJAngV5mSsqsHErM1TXW1hW3cOdOrDVtnFifqsueP/sM7r9fe3z4oVb34gwpxhWiQSRoEUI0q+HhWiFsXHacrroWRVEYHBUAwO5TWbqu6T12LMbQEEpPnyZj6VJdY4HqmRaAV17RHtOnwyOPOHeeZgpa2sD6CtGONOefNwlahBDNyt/dn54B2i/vXam7dI0dXD5FtOtklq5xRh8fwh/WAou019+g5NRpXeOrZVqqWrLEuWXQ9qClaXq1mM1mQNsdWYjmYvvzZvvz15Qaf82dEELUY0jYEI5mHWVXyi7O63qe8+NsmRadQQuA39RLyPr8cwo2bybt1Vfp9Nyzzg8OD4eJE6HSZn4OSkvhxx/huuvqPo8taMk+BaWFYHZ+bx5nGI1GAgICSElJAcDLhVb6QjhLVVUKCgpISUkhICAAY9UtMJqABC1CiGY3NGwon//1OTtTduoaN6iLtuPysdR8copK8fNw/l92iqIQfPssCjZvpnD3bl3XBeDrr7WMSlyc9vyttxzfX7my/qDFKxg8/LWNEzPimmTjxIiICAB74CJEUwsICLD/uWtqErQIIZrd0NChAOxP30+RpQgPk3ON0IJ93IkK8uRkRiE7E7KY0Ftfkzn33lptSsmJE1iLizG4uzs/2N8f5s6teD5kCNx9d8XzVau0jEtdKXJF0bItp7dD8v4mCVoURSEyMpKwsDCHzQWFaApms7lZMiw2ErQIIZpdF98uBHsEk16Uzv70/fbiXGec3SOEjzNOsvT3ON1BiyksFIO/P9bsbEri4vCor1alLpdd5hi0ZGXBP/8J8+ZBQEDt46LHakHL0dUw6FrXr18Po9HYrL9MhGgOUogrhGh2iqIwNEzLtuidIvq/iT0wGRTW/ZXKlrgM3dd176nVlRQfaeAKni5dYNgwx9cWLdLqXzZurH1c74u0r0d+hjJLw+5BiA5GghYhRIsYEjYEgF0pu3SNiw725rqRWrO4F346pHu5pXsvW9ByRNe4Gl1+efXXSkrgwQdrHxM1CjwCoDATTulrsCdERydBixCiRQwL07IUW5K2cCbvjK6x957bEzeTga3xmexIyNI11r1XL6CRgpYbbtD2Jqpq82Y4U8tnMpqg12Tt+79+aPg9CNGBSNAihGgR/UP6MyR0CIWWQp7Y+ISujEmkvyfjy3d63qOz0Zx7z0YMWnr10jrijhxZ/b3vvqt9XO8Lta+Hf2z4PQjRgUjQIoRoEQbFwNPnPI2H0YPNiZv59PCnusb3ifAF4HCSvpb+tumh0lOnsDZGE7arr4YtW2DaNMfXV66sfUzP88FggrTD2tJnIYRTJGgRQrSYaL9o7h92PwDL9y/XNTa2PGg5qDNoMQUFYQwJAaD4WCN2pq1a3/LLL5CXV/OxngEQOVj7PmlP492DEO2cBC1CiBZ1Wc/LADiVd4rs4mynx/WN1IKWI8m5WK0uFuP+1QhTRDYXXgimSl0kioth9erajw/qoX2VTIsQTpOgRQjRovzc/Ojs0xmAQxmHnB4XE+yNm8lAQUkZJzP1TfPY6loyPvyAnJ9+RrVadY2vUWAgjB/v+NoPdRTaBnXTvmYcb/i1heggJGgRQrS4vkF9AX1Bi8looFeYjzZO5xSRz7hzQFEoPnCQ0/ffT8ayZbrG1+rccx2fnzpV+7GB5UFLpmRahHCWBC1CiBbXJ0jrTHsw46CucbEuFuP6jB9Pjx9/wO+SSwDI/3OTrvG1n9jH8Xlxce3HBnXXvmbEN861hegAJGgRQrS4vsFapuVgur6gxbaC6FBSju5rukVHEzTjVgCK9u7V3aSuRlV7ttQZtJRnWrJPgqWO44QQdhK0CCFanG16KD4nnkJLodPj+kT4Afqnh2zcY2PBbKYsO5vSuqZynD6hjqDFOxTcfAAVshIafm0hOgAJWoQQLS7UK5Rgj2CsqpW/Mv9yepwt0xKflk9RaZnu6xrc3OybJhbt3at7fDV6ghZFqahrkWJcIZwiQYsQolXoE6wFD4fSnS/GDfV1J8jbDasKe087v1y6Ms+BAwAo3LvPpfEO9AQtUGkFkRTjCuEMCVqEEK1Cv6B+gL5iXEVRGN9LaxS3ak+iS9f1GDAQaKRMi4eH43OngxbJtAjhDAlahBCtgm0FkZ5lzwCXDu4EwPd7EynT2WQOKmVaDhxALdM/xeRAb6ZFlj0LoYsELUKIVqFXoNbw7VjWMcqszgcP43qF4udhIiW3mC1xGbqv69a9O4qXF2pBQcPb+lcNWoqK6j7evuxZMi1COEOCFiFEq9DVtyvuRneKyoo4lef8Sh43k4GLBkQC8O2eM7qvqxiNePbvDzTCFJGrNS2ZJ0BHoCZERyVBixCiVTAajHT31zIPRzL17QlkmyL6YW8ipWX6W/J7jRwBQO6va3SPdaA3aPHrDEY3sJZCdiMsuRainZOgRQjRatimiPQGLaO7BxHk7UZmQSnbT2Tqvq7fxRcDkLdhA2VZWbrH21UNWqxWsFhqP95gBP8u2vcStAhRLwlahBCtRu/A3gAcydIXtJiMBib0DgVg7eFU3dd179lTazRXWkrOzz/rHl9xIvfqrzmTbQHIOe36dYXoICRoEUK0Gq5mWgAmxtqClhSXru03VduHKGfV9y6NB1wLWuyZlpOuX1eIDkKCFiFEq2HLtJzIOaGrnT/A+F6hGBStpX9itr6xAP7lU0QFW7ZQmpysezxQvU8LOJ9pyZZMixD1kaBFCNFqBHsEE+geiIrK8Sx9y4ADvd0YHBUAuDZFZO7cGc9hw0BVyVvjYkGuS5kWmR4SwlkStAghWg1FUexTRNuTt7M1aStFlnp6nVQyKTYMcH2KyHvsWAAKtu9waXyNQUt9vVr8bNNDErQIUR8JWoQQrYotaHlh2wvM/Gkmb+19y+mxtrqWP46mu7b0edhQAAp3uBi0mExgqPLXqtOZFlk9JER9JGgRQrQqQ8OGOjzfnbrb6bEDOvkT4GUmr9jCPhc2UPQYNBiMRkrPnKE0KUn3eMC1Xi0AhZlQUuDaNYXoICRoEUK0KhdEX8Ab57/B02c/DUBCToLTYw0GhZExQQAutfQ3+njjERsLNCDbojdo8fAHNx/te6lrEaJOErQIIVoVRVEY23ks47uMByAxP1FXXcuobq4HLYBWjAsU7Njp0njdQYuiVFpBJFNEQtRFghYhRKsU4B6An5sfAAm5zmdbRnULBmBLfIZLuz57DdeClmbLtICsIBLCSRK0CCFaJUVRiPGLAbS+Lc7qG+mLj7uJ3CILh5NydV/XlmkpOnSIsrx83eOr9WpxJmiRXi1COEWCFiFEqxXtFw3oC1pMRgPDowMB2ByXrvua5vBwzJ06gdVK4Y7tuse7lmkpX/YsK4iEqJMELUKIVssWtMRnx+sad1YD61p8Jk4AIPvb7/QPrhq01NenBSTTIoSTJGgRQrRa0f76My2g7foM8MfRNLIKSnRf1/+KKwDIXb2asrw8fYOlpkWIJiNBixCi1XKlpgVgcJcAeob5kFNk4ZlVB3Vf12PgQNx69EAtKiL3xx/1DXYlaJGuuEI4RYIWIUSr1dW3KwCZxZlkFzvfLM5kNPDvqweiKPDZ9lNsOKJvLyJFUQi48goAsr76WtfYBmVaSnKhSH9TPCE6CglahBCtlpfZizAvbT8hPU3mAIZHB3HrmBgA/v3jId3X9rv0MjAYKNy+nZJTOjIgrgQtbt7gri3vJs+1fZOE6AgkaBFCtGq2KaL4nHjdY287Wxt7JDkPVdXXs8UcHoZHnz4AFB/WEfS4ErQAeIdoXyVoEaJWErQIIVo12wqi49nHdY+N8Nd6phRbrGQWlOoeb46KAqD0lI6lyK70aQHw1jJK5OubyhKiI5GgRQjRqvUP7g/AjmT9HWrdTUZCfNwAOJNVqHu8uYtWa9Lk00MAPtoO1RK0CFE7CVqEEK3aiIgRAOxN26trDyKbSH9PABKz9Y9166Kt6tGVaXGlTwuAtwQtQtRHghYhRKvW1bcroZ6hlFpL2Zu2V/f4yPIposRsVzItjRC06J0ekpoWIWrlUtCyZMkSunXrhoeHB8OHD2fDhg21Hvv7779z9tlnExwcjKenJ3369OGll15y+YaFEB2LoiiMCNeyLduStuke3ylAy7ScydKfabEFLSWnTztfyNvQQlzJtAhRK91ByyeffMKcOXOYN28eO3fuZNy4cVx00UUkJNS8HNHb25t77rmH9evXc/DgQR577DEee+wx3nzzzQbfvBCiYxgePhyAbcn6g5YGZVo6dwZFQS0ooCwz07lBLte0SCGuEPXRHbS8+OKLzJo1i9tvv52+ffuyePFioqKieO2112o8fujQodxwww3079+fmJgYpk+fzpQpU+rMzgghRGW2upbdqbspLdO3CiiyPNOS6EKmxeDmhilMCyacniJyOdMiNS1C1EdX0FJSUsL27du54IILHF6/4IIL2Lhxo1Pn2LlzJxs3bmTChAm1HlNcXExOTo7DQwjRcXX3706QRxDFZcXsS9+na2yn8kzLGRcyLVBpiujkSecGNLimRYIWIWqjK2hJS0ujrKyM8PBwh9fDw8NJSkqqc2yXLl1wd3dnxIgR3H333dx+++21Hvvcc8/h7+9vf0SV90oQQnRMiqIwNGwoAHtS9+gaa8u0JOcUYbXqazAH4Fa+7LnU2WXPLvdpKa9pKcmFUtcCLCHaO5cKcRVFcXiuqmq116rasGED27Zt4/XXX2fx4sWsWLGi1mPnzp1Ldna2/XHS2X/hCCHarW7+3QA4nadvU8FwX3cMCpSWqaTlORlAVGLurHMFkauZFg9/MGo9ZWSKSIiamfQcHBISgtForJZVSUlJqZZ9qapbN+0vnIEDB5KcnMz8+fO54YYbajzW3d0d96r/4wshOrROPp0AOJN3Rtc4k9FAmK8HSTlFnMkuIszPo/5BldiXPZ92MWhxtk+LomhTRDmntCmigK467lKIjkFXpsXNzY3hw4ezevVqh9dXr17N2LFjnT6PqqoUO/uvDyGEADp7a9M0ejMtAJEB5SuImqMrrquZFpBlz0LUQ1emBeDBBx/k5ptvZsSIEYwZM4Y333yThIQE7rzzTkCb2jl9+jTvvfceAK+++ipdu3alT/nGY7///juLFi3i3nvvbcSPIYRo7ypnWpyZknYY6+/JTrI440pXXNv+Q4mJqGVlKEZj3QMaErTYlz1LgzkhaqI7aJk2bRrp6eksXLiQxMREBgwYwPfff090tLapWWJiokPPFqvVyty5c4mLi8NkMtGjRw/+9a9/MXv27Mb7FEKIdi/SJxKAAksB2cXZBHgEOD/W3/VMiyksDMxmKC3FkpSk9W6pS4MyLbLsWYi66A5aAO666y7uuuuuGt9bvny5w/N7771XsipCiAZzN7oT6hlKamEqp/NP6wtaAlzff0gxGnGLiqLk+HGK4+ObJ2iRZc9C1Ej2HhJCtBm2KaLTufrqWjqX17TEpeW7dF238oUEJXHx9R8smRYhmowELUKINsPVFUTDogNRFDiQmEOSC9kW9+7lQcvx4/Uf7GqfFpCaFiHqIUGLEKLN6Ozj2gqiMF8PhnUNBODnA3U3wqyJW4wWtBTHORG0VM20WK1gsTh3IXumJU3H3QnRcUjQIoRoM+yZlnx9mRaAC/tHAPDjPheClu4NmB4C53u12GtaJNMiRE0kaBFCtBm2TIve6SGAKeVBy+a4DDLzS3SNdS+vabEkJWHNr6cupqagRe9OzwXpYC3TcYdCdAwStAgh2ozK00Oqqm8foa7BXvSL9KPMqvLLwWRdY40BARiDggAojo+v++CGBC2eQYACqFCQoecWhegQJGgRQrQZkd5ar5ZCSyFZxVm6x9uyLb8e1D/9Yl9BdDyu7gMbErQYTeClBUeygkiI6iRoEUK0GW5GN8I8tSkUV6aIhnQNAOBYap7usfYVRHFNGLRApWJcqWsRoioJWoQQbYqtGPdknv7d36ODvABIyCjAatU3veT0CiKTCQxV/mp1KWiRFURCVCVBixCiTenmrwUPRzOP6h7bOdATo0Gh2GIlJVffpq26VhA1pFeLNJgTolYStAgh2pTYoFgADmce1j3WbDTQqbw77ol0fd1x3btVTA+pZfWs7JGuuEI0CQlahBBtSmxgedCSoT9oAYgO8gbgREaBrnHmLl0w+PmhFheT99tvdR9cNWhxtk8LSNAiRB0kaBFCtCm2TEtifiLZxdm6x3cNLq9rSdcXtCgmE4HTpgGQ/s7Sug9uUKYlRPsqNS1CVCNBixCiTfF187X3a/kr8y/d423FuHozLQCBN09HMZsp3LmTgh07az9QpoeEaBIStAgh2hzbFNGhjEO6x0bbMy36d3w2h4Xhd9mlAGQsqyPbIkGLEE1CghYhRJvTJ6gP4FrQ0tXFmhaboFtvBSB3zW+opaU1H1Q1aPnyS8jNde4CMj0kRK0kaBFCtDm2uhZXpodsNS1ZBaVkF9YSdNTBvWdPFDc3KCujNLmW7QCqBi1ffAExMVDb8ZXZMi0leVDiWmAlRHslQYsQos2xBS1Hs45SWqYv8PBxNxHi4wboL8YFUAwGzJ20Bnelp07XfFDVPi0AGRmwZEn9F3D3BWN50CNTREI4kKBFCNHmdPLuhK/ZF4vVwvHsejrU1qBrpc64rjB36QJA6elagpaaWvkDvPpq/SdXFOmKK0QtJGgRQrQ5iqLQPaA7AAm5CbrHRwfb6lr0F+MCmDtrq5dKT5+q+YDaghZn+UgxrhA1kaBFCNEmhXuFA5Cc70SdSBW2TMuuhCyXrl0RtOjMtOTkgMVS/wVkBZEQNZKgRQjRJoV5abs9pxTo3w15Sv8IFAV+PpDMrpNZuse7ddGClpLaghY3t5pfLy2F+Pj6LyBBixA1kqBFCNEmRXhHAJBUkKR7bL9Oflw1VKtLeWbVAVRV347PFZmWMzUfsH9/7YMPO7H9gCx7FqJGErQIIdqkhmRaAB6a0hsPs4Gt8ZmsPqBviskWtFiSklBLSqofEBhY+2CnghbJtAhREwlahBBtkq2mxdWgJdLfk5tGRQPwy0F9QYsxOBjFwwNUldKkGjI911xT++BDTjTEk6BFiBpJ0CKEaJNsmZbk/GTd0zs2Q7sGAHA0JU/XOEVR6i7GvekmuOKKmmtbdE0PSdAiRGUStAgh2iRb0FJiLXFpt2eAnmE+ABxJyXOhrqW8wVxNQYuPD3z1FRQWai38K9MzPZTnWhZJiPZKghYhRJvkZnQjyCMIgOQC/cueAbqFeGNQILfIQkqujk0NqahrKTlVS68WAIMB+vRxfC05GbLrCbJ8tCJjCtKgzIkl0kJ0EBK0CCHaLPsUkYtBi7vJaG80p3eKyK2+FUQ2PXqA0ej4Wn3ZFu8QUIygWmWKSIhKJGgRQrRZDS3GhUpTRMlO7sJcrt5W/jZubtCtm+Nr9RXjGozgo302chN13ZcQ7ZkELUKINquhmRaoCFqOpurMtHTtCkDhnj1kr1xZ98G9ezs+P3Gi/gv4lk8RSdAihJ0ELUKINquhvVoAetkzLfqCFve+ffG7+GKwWDjz8CNkfvJp7QeXZ2XsztQzpQTgG6l9laBFCDsJWoQQbVZD9h+ysWVajunMtCiKQqdFLxB4880AZLz7bu0Hd+rk+Ly+KSUAP1vQor/jrxDtlQQtQog2yx60NGB6qEeoFrSk5ZWQkV9Dd9s6KAYDgTdcD4AltY6C2apBi1OZFpkeEqIqCVqEEG1WuHfDC3G93U10DvAE9K8gAjCFaI3grLm5WIuKaj7IpaBFMi1CVCVBixCizbLVtOSU5FBoKXT5PBVN5vStIAIw+PqiuLsDYEmrZYPDqkFLcjJY6um/Ys+0SNAihI0ELUKINsvH7IOnScuSNKSupW+kHwC7ErJ0j1UUxZ5tqXWKqGrQYrVCSj3ZIVumJceJrIwQHYQELUKINktRFDp5awHBmTzXf7mP6qZ11t0Sn+HSeFOo1na/1qAlNBRMJsfX6psisgUthRlg0detV4j2SoIWIUSbFu2n7dQcnxPv8jmGxwRiUOBEegFJ2bXUpdTBFFqeaalteshggMhIx9fqC1o8A8FYvuGiTBEJAUjQIoRo42xBS0Jugsvn8PMw06+TNkW0OS5d93hjfdNDoL8YV1GkrkWIKiRoEUK0aV39tM60Dcm0AJwVEwzAljj9U0S26aGy2jIt4OIKovIxsuxZCECCFiFEG2fPtOS4nmkBOMtW1+JK0GLLtKToyLQ402BOMi1COJCgRQjRptmCltN5pyktK3X5PLag5UhKHul5+gpf7YW4jZ5psfVqkRVEQoAELUKINi7UMxRPkydW1cqpvFMunyfI243e4Vq/lq3xmbrGmkKaKmiRTIsQlUnQIoRo0xRFsWdbTuQ4sXtyHYZGBQKw/0y2rnGmsPKgJT0d1Wqt+aAGZVqkpkUIkKBFCNEONFbQ0jfSF4CDiTm6xpmCgrTVPhYLZVlZNR/UubPj87Q0KK5nGkoyLUI4kKBFCNHmdfXVVhA1PGjRlj0fTNTXzl8xmzEEBgCwff8vNR9UNdMCkFRPMOKtFfhSoH8ZthDtkQQtQog2L8Y/Bmj4CqI+5UHL6axCsgv0FfUW+mn7D73669OsSVhT/YCAAPDwcHytvikir+Dyk2eCtUzX/QjRHknQIoRo8+yZltyGZVr8Pc32HZ8PJumbIsrz1dr0++WW8fd1f2fjmY2OByiK/mXPtqBFtUKRvjobIdojCVqEEG1ejF8MAEn5SQ3a7Rlcr2vJ1BYeEVHsgcVq4X87/1f9oPJ+LnY59VzDaAZ3f+17mSISQoIWIUTbF+ARgK+bFmycynV92TNUrmvRF7SkeGjTSRM8B2FUjOxN20tcdpzjQVWnh4qc2OfIS+sfQ34dy6mF6CBcClqWLFlCt27d8PDwYPjw4WzYsKHWY7/88ksmT55MaGgofn5+jBkzhp9++snlGxZCiJp08ekCaE3mGsLVYtxTbnkAhBSYGNtpLACrjq9yPMiloKV8ikgyLULoD1o++eQT5syZw7x589i5cyfjxo3joosuIiGh5gK49evXM3nyZL7//nu2b9/OpEmTuPTSS9m5c2eDb14IIWy6+GpBS2NlWg4n52Ipq6XnShV5JXmc9NKmpcxn0pjafSoA3x3/DlVVKw6UoEWIBtEdtLz44ovMmjWL22+/nb59+7J48WKioqJ47bXXajx+8eLFPPzww4wcOZJevXrx7LPP0qtXL7799tsG37wQQtg0VqYlOsgLLzcjJRYrcWn5To05lXeKvzorAJQe/osJgSPwMnlxOu80u1N3Vxzo7u44UIIWIXTRFbSUlJSwfft2LrjgAofXL7jgAjZu3FjLKEdWq5Xc3FyCgoJqPaa4uJicnByHhxBC1KWxMi0Gg2LPtuw8meXUmFO5p8j0VcgIdgerFXXvIc6PPh+Apzc9TUZR+SaMDalpkaBFCH1BS1paGmVlZYSHhzu8Hh4eTlJ9TZLK/ec//yE/P5/rrruu1mOee+45/P397Y+oqCg9tymE6IBsmZaG7D9kM6a7lt34/Yhzxa8nc08CkNYnDICCrVuZPWg2wR7BHM48zMwfZ2qBS9Wgpb6OuFAp06J/92kh2huXCnEVRXF4rqpqtddqsmLFCubPn88nn3xCWFhYrcfNnTuX7Oxs++PkyZOu3KYQogOxZVpO5512rCNxwbhe2tLkP46mYbXWfy5b0FI6sBcABVu30dWvK8svXE6YVxjHso/x8aGPXcu0SFdcIex0BS0hISEYjcZqWZWUlJRq2ZeqPvnkE2bNmsWnn37K+eefX+ex7u7u+Pn5OTyEEKIukd6RKCgUWgpJL2rYL/ihXQPxdjOSnl/CASeWPtumpDyGDwOgcN8+rAUFxPjH8LeBfwNgX9o+KcQVooF0BS1ubm4MHz6c1atXO7y+evVqxo4dW+u4FStWMGPGDD766CMuueQS1+5UCCHqYDaaifDWNhhsaF2Lm8nA6PIpog1OTBHZMi0RPQdhiowEi4XC3VoBbt/gvgAcSD+A6iGFuEI0hO7poQcffJC3336bpUuXcvDgQR544AESEhK48847AW1q55ZbbrEfv2LFCm655Rb+85//MHr0aJKSkkhKSiI7W1pSCyEal70YtxHqWmxTRL8fTa31mPzSfHJKckjMTwQgyq8rXiNGAFpdC0DvwN4YFAPpRemkelaZapKgRQhddAct06ZNY/HixSxcuJAhQ4awfv16vv/+e6Kjta3hExMTHXq2vPHGG1gsFu6++24iIyPtj/vvv7/xPoUQQgCdfToDcDq3YcueAcb1DgVga1wmhSXVNyvMLMpk8meTmfDJBMrUMtwMboR6hVYELTu0XlSeJk+6+3cH4KB3nuNJ9AQtxTlgKXHx0wjRPphcGXTXXXdx11131fje8uXLHZ6vXbvWlUsIIYRujbmCqHuINxF+HiTlFLHvTDYjYxzbNBxMP0huaUXX3Gj/aAyKAc8hgwEo2rMHtawMxWikX3A/jmYd5YBHNhMqn8SZ1UMe/qAYtE0TCzPAN6LBn02Itkr2HhJCtBuN1asFtFWS3UK8ATiTVX0TxjP5ZwDoF9yPOwbdweOjHwfAvWdPFC8vrAUFFB87BkDfoPK6FnOVZcvOZFoMRvAM1L6XKSLRwUnQIoRoN+zTQw3simsTGaCt9jldU9CSpwUtA0MGcu/QexkaNhQAxWjEc+BAgGrFuAcNVepjnAlaALxk2bMQIEGLEKIdsWVakvKTKC0rbfD5Ogd4AjVnWmzFt5HekdXe8xysTRHZgpY+QX1QUEgml3RfY8WBTgctUowrBEjQIoRoR4I9gnE3uqOiklTgXJfuunSyBy3VgwtbpqWTT6dq73kOHgRA0e49AHibvYn20xYrHIr2rDjQ6aBFWvkLARK0CCHaEUVR7JmPpPzGDFp0ZloGaUFL8dGjlOVpK4ZsdS0Hoys1mNOdaZFW/qJjk6BFCNGu2BrM2TIhDdG5lpoWi9VCSkEKUHOmxRQairlzZ1BVivbuBSA2KBaAw10bErRIpkV0bBK0CCHaFVsQYcuENESkv5ZpyS2ykFNUUSOTUpBCmVqG2WAmxDOkxrE11bUAHOpaaXrImSXPUBG05Du3gaMQ7ZUELUKIdsWWaWmMoMXb3USAl1k7X6W6FlsWJ8I7AoNS81+j7n20IKUkLg6oyLScCHejwK18g9miInBmc0d7pkWCFtGxSdAihGhXOnmXZ1ryGh60AHTyr17XYguIbNeqiTlSq3UpTdRqa0I8Qwg2B6AaFI52qTRFVOJEl1tb0FKYqefWhWh3JGgRQrQrtsLYxsi0QEUx7ukagpZIn+pFuDbmSC3jU5pUURDcx7cHAIf01rXYm8tJ0CI6NglahBDtii2QSMpPQnVm6qUetmLcxOyKoMW+3LmOTIspQrsPS1ISqtUKQGxAL8CFYlzbkmfJtIgOToIWIUS7Eu4VjoJCUVkRmcUN/yUfWUOvFqcyLeFhoCioJSWUZWhLlWODtTqXw1E6e7XYMi0lubJpoujQJGgRQrQrbkY3+4qexqhrqWl6yJlMi2I2YwrVdoq21bX0CRsAwF9R7pSV1+I6vWkituLdLOdvXoh2RoIWIUS7Y8uANEZdi216yFaIq6qqvXFdXZkWAJO9rkW7j+jAHngUWyn0MHIyzE07yNlNEz38te+lwZzowCRoEUK0O7Zi3MZoMGfLtCRlF1FmVUktTKWorAgFhQiviDrHmm11LeWZFqPRRI8kbXrnWGd37SC9rfylrkV0YBK0CCHaHfuy50bItIT5emAyKFisKim5RexI3gFofVfMRnOdY80R5ZmWxIr7iMjWioPT/MvHOhu0eNqClkbKtBTnwo73IWlv45xPiGZgaukbEEKIxmZrMNcY+w8ZDQqdAjxJyCggIb2AzcmbATgr4qx6x1adHgIIKtRqU9L9y//6dTposS17boSgZcf78Mt8rVmdf1eYswcUpd5hQrQ0ybQIIdodWyv/M/kNnx4CiA72AuBEegFbk7YCzgUt5kjtPmzTQwBBRdpfuxm+Ru2F5p4eSj4AK++p6K6bnQBpfzXsnEI0EwlahBDtjr3BXCN1xe0W4g3A/pQTnMg5gVExMjx8eL3jamowF1SiZVgy/MozLc7uP2TLtDR0eujgSu1rj3MhZpz2/fG1DTunEM1EghYhRLsT5RsFQGZxJlmNsEQ4Org8aMnQ6ln6B/fHx82n3nGm8poWS0oKqsUCQHCJVsuS7qd3eqiRMi2HvtO+DrhGC1xAghbRZkjQIoRod7zMXvZi3GPZxxp8vpjy6aGTRVrR6siIkU6NM4WEgNkMViuWlBQAgsq0pc4ZuoOWRqhpyYzXCm8VA8ReBN0naq/H/w5lFtfPK0QzkaBFCNEudQ/oDsCxrIYHLVqmRSVfOQTAWZH117MAKAYD5vBwoGKKKNiq9X3RnWlpjJqWQ6u0r9Fna+eLHAweAVCcA2d2un5eIZqJBC1CiHapZ0BPoHGClqggTxRjEYo5C4AhoUOcHlt12XOQqvV9yfU2UmpU9GdaGiNo6TNV+2owQrfx2vcyRSTaAAlahBDtUo8AbUflxgha3E1GwgO14MLb5IeX2cvpsaZIW4M5LWjxUzwxlmm9WjJ8jc03PVSYCQl/at/3uaTi9e4TtK/H1rh2XiGakQQtQoh2qYe/FrQczTraKOcLswUtxiBd48xdOgNQknASAIOHJ0E5Wv1Ihp+p+aaHEjaDaoXgXhAQVfF6z8na15ObID/NtXML0UwkaBFCtEu2TEt6UXqjrCDy8ykAwEygrnHuMTEAlJw4ob3g4UFQrha0pPub9C95thRCaWHdx9bkxB/a1+gxjq8HRkPEQC2gOfyD/vMK0YwkaBFCtEuNvYLIwyMPgLISP13j3KKjgSpBS04ZABm+OjIt7n6glDekcyXbYpsa6jq2+nt9LtW+2mpehGilJGgRQrRbjbmCSDFlA1BUWH9/lsrM5UGLJSkJa2FhedBimx7SUdOiKK7XtZQUVKwOqpppAehbXph7bA0U5+k7txDNSIIWIUS71ZgriEoULbuRleuFqqpOjzMFBmLw99fOkZBQJWjRkWkB1+taTm0FqwX8OkNAdPX3w/pBYDcoK4ajv+g7txDNSIIWIUS71ZgriHJL0wEoKPThSIq+bIR9iij+BHh4EFwetKTrDVpc3enZPjU0puaNERWlItsidS2iFZOgRQjRbnXz7wbAidwTDT5XaqHW0Va1+PPp1pO6xrrFVKprcXe3Z1r0By0uTg+d2Kh9rWlqyMZW65J6UN+5hWhGErQIIdqtIA8tM5FdnN2g8xSXFZNVnAWAtdSPL3eepthS5vT4imLceC3TkltpesjZ1UPg2vSQpVibHoKai3BtgrQAj4x40DH9JURzkqBFCNFuBbgHAFBoKaTIoiOjUUVKvpZl8TB6EO4TSEZ+CasPJDs93i06BqiYHnJp9RC4ttPziY1QWgA+ERDWt/bjArV7pDi74ZsyCtFEJGgRQrRbPmYfTIq2x48tU+KK5AItQAnzCuO6EVpjto+3OD9F5LDsucrqIbVIR88VV1r52wpre55fcz2LjdkTfLXuvWTGOX9+IZqRBC1CiHZLURT83LW+Kg2ZIrIFLeHe4Vw9rAsAG4+lUWKxOjXeVtNSlpZGGYo9aCk1G8hVXZge0lPTYg9azqv/WFu2JUOCFtE6SdAihGjXbFNEDcm0pBRo00NhXmFEB3vhbjJgVSEp27mpHaOvL8bgYABK8vPwKFXxLiyfIjLqCFo8dQYtWSch9RAoBugxqf7jA8vrWiTTIlopCVqEEO1aYwQt9kyLVziKotA5UNup+VRmgdPnsE8RZWkZH/sKInOJ8zfipQU+Tte02LIsXUZWTC3VxVaMmxnv/D0J0YwkaBFCtGv+7lpjt4ZMD1XOtAB0CdR2eT6V6Xw9iluUVgtTmpsDQEi2FrSkeji/CsketBSkO3e8fWposnPH26eH4p2/JyGakQQtQoh2rbEzLQBdXMi0mCIjALDkaEFLaJYWtKR5OlcXA1TKtGSC1Ylg59Q27Wv3Cc6dX6aHRCsnQYsQol0L8AgAGhi05NcWtDifaTFHaCtzSrO0+wjNKgUgxUdHTxRbIa5qhaJ6MkeqWjGNZFsVVB/b9FDOGSh1fYm4EE1FghYhRLtmy7S4Oj1kVa2kF2rTMaFeoYBr00Pm8kxLaYa2XNmeafE1QJmTU0RGM5RPd9U7RVRaAGXl9TLO1LOAlslx8wFUyEpwbowQzUiCFiFEu2YLWjKLXGuYlluSi0XVAgxbh13Xpoe0bIclvTwAKg9aUv3NcOoUPPYYPPwwJCXVfSIvWyv/eoIWWy8XgxncvJ27SUWRKSLRqpla+gaEEKIpNbQQN71ICw58zb64Gd2AiqAlKaeIEosVN1P9//4zlwctZbm5WBXFPj2UGmiCyy+H3bu1A3/4Afbsqb0RnFewtrqnvmXPtqDFM7DupnJVBcVA8l7p1SJaJcm0CCHatYYW4maU14UE2XqkAKE+7i71ajF4axmPUrO5UqbFVBGwAOzbB8fq2JXa2RVElYMWPWwriCTTIlohCVqEEO1ag4OWIi1oCfYItr/maq8W2wqiUpPJnmnJ8TFRZK6SCTl1qvaTOB20ZGlf9QYtwT21r2lH9I0TohlI0CKEaNds00O5JbmUObNMuArb9JCtnsXGtWLcTgBYTGb8Cqy4lWrLndP8q8zUJybWfpKmzrSE9tG+ph7WN06IZiBBixCiXbMFLSoqOSU5usfbMi3Vgxb9mRZzRHmmxd0dBQjNLJ8iCjA7Hnj6dO0ncXb/IZeDlljta84pKNL/8xKiKUnQIoRo18wGMz5mH8C1KaKaalrAtV4t9ukhd3cAQrPLi3EDqmRazpyp/ST2/YeaKNPiGQg+2n2S9pe+sUI0MQlahBDtXkNWENWeaWnA9JCbllmxF+PqCVqc3X/I1aAFKrItqYf0jxWiCUnQIoRo9xpSjFtb0NI1SAtadiRk8q8fDlFQYqn3XPYGc0YtSKkIWqpMDzkTtDidaQmo976qCeurfU05qH+sEE1IghYhRLvXkFb+tkLcyquHAAZ38efyIZ2wWFVeX3eMeV/tq/dc9poWkwmVilb+LmVammp6CCplWqQYV7QuErQIIdo9e6alKEv32NpqWhRF4eXrh/LvqwcCsOl4/Tsvm8qDFtVqxTp7NmGhWvfZ1EhfxwPPnNH2DqqJfXooC8rqyO64uuQZZAWRaLVcClqWLFlCt27d8PDwYPjw4WzYsKHWYxMTE7nxxhuJjY3FYDAwZ84cV+9VCCFc4ur0UElZCbmluUD1TIvNhN5hAKTkFmO11r35ocHDA2OQFvyUzplDyDOLAUgd2N3xwMJCyK6l/sYehKhQVxDWoExLedCSnQDFefrHC9FEdActn3zyCXPmzGHevHns3LmTcePGcdFFF5GQUPPmWsXFxYSGhjJv3jwGDx7c4BsWQgi9bIW4eoMWWz2LSTHh6+Zb4zEhPm4oCpRZVdLzS+o9p32K6MwZwjy1gCfVUkOAUtuyZ6MJPJzYNLEhQYtXEHhr90aaZFtE66E7aHnxxReZNWsWt99+O3379mXx4sVERUXx2muv1Xh8TEwML7/8Mrfccgv+/v4NvmEhhNDL1Z2ebfUsgR6BGJSa/7o0GQ2E+GhLmJNz6m/p79azBwBF+w/Yd43OLsmmOLxKJsepupZaVhBZiqE0X/velUJcgDCZIhKtj66gpaSkhO3bt3PBBRc4vH7BBRewcePGRrup4uJicnJyHB5CCOEqV6eHbPUswZ41Tw3ZhPtpQUtKbv1Bi2d5xrlw92783PxwM2ibMKb2jHQ8sCHFuLZ6FhRwd/Efi7YpopQDro0XognoClrS0tIoKysjPDzc4fXw8HCS6ttOXYfnnnsOf39/+yMqKqrRzi2E6HhCPEMASC1M1TWutuXOVYX7egCQnFNc7zk9Bw8BoHDPHlBVe7YlLSbE8cAGBS2VljsbXFxvEdZP+5q837XxQjQBl/40K1W2OVdVtdprDTF37lyys7Ptj5MnTzbauYUQHU8nH62p25m8M1hVq9PjnA1awvxsQUv9mRaP2N4o7u5Yc3IoiT9REVB1qpIRaZSgxYV6FpsIbVUUSfUv5RaiuegKWkJCQjAajdWyKikpKdWyLw3h7u6On5+fw0MIIVwV7hWOUTFSai0ltcD5bIvTmRY/W01L/ZkWxWzGY8AAQJsiCvXUMi2pYd6OB9YZtNTTyr8xgpawvoAC+SmQl+L6eYRoRLqCFjc3N4YPH87q1asdXl+9ejVjx45t1BsTQojGYjKYiPDWVu2czqtjM8Iq0gtr3uG5qvDyTEuKE5kWqFzXssueaUlzZf8hW3BSlW0pdEOCFjdvCCpfip0s2RbROuieHnrwwQd5++23Wbp0KQcPHuSBBx4gISGBO++8E9Cmdm655RaHMbt27WLXrl3k5eWRmprKrl27OHBAiruEEM2ns09nQF/QojvT4kQhLlQOWvbYa1pSqyRa6tzp2aM8+1xUy2qoxsi0AERoGSGZIhKthan+QxxNmzaN9PR0Fi5cSGJiIgMGDOD7778nOjoa0JrJVe3ZMnToUPv327dv56OPPiI6Opr4+PiG3b0QQjjJFrScyjvl9Bhb0FLf6qEwHYW4AJ5DtKCl+PBhwpRpAKSaq/R4SUwEq7XmQtrybQmaPGgJHwgHvpFMi2g1dActAHfddRd33XVXje8tX7682mtqbe2ohRCimdgzLbnOZ1qSC5KBitVHtbFND6XlFWMps2Iy1p3ENoeHYwoPx5KcTPgprZ9KmqHA8SCLRcu21LR60tZcrriWdhCSaRHtlOw9JIToEDr76pseyi/Nt2daonzrbrsQ7O2G0aCgqpCWV39XXAD3HlqTuYA0bUoptTQLfHwcDzp0qObBtqClyTMt/bWvaYfB4tznEqIpSdAihOgQuvh0AZwPWk7maq0WAt0Da23hb2MwKIT5Ot8VF8DcRbsfrxQtW5JZlIkltpfjQYdr6Ubr3kw1Lf5RWoBktUg7f9EqSNAihOgQbNNDyQXJlFpL6z0+IUerzasvy2Kjp1cLgDlKC1qMSekYFSMqKumDejoeVFvQUjnTUtP0u629v632xVWKAuEyRSRaDwlahBAdQrBnMG4GN6yqlaT8+jt42zItUX7OBS3htkxLrnPFuG7ltSqWU6ftO0in9e7keFB9QYtqhZIadmHOL+9F4xPq1L3UyTZFJMW4ohWQoEUI0SEYFIO9M64zU0T2oMXJTIveXi3mLtp5S06dJMSrvCtu1yqrlGoLWsyeYDBr3xdVKca1WiFPKyDGJ8Kpe6mTLWiRPYhEKyBBixCiw7AX4zqxgsgWtHT17erUuSu64joXtLiVTw+VpaYRadT6wKSGV2nWkpAABQVVh2rTNrUV4xZmaDUoAD5hTt1LncJsmRbZg0i0PAlahBAdhp5iXL2ZFltNS0JGDUFGDYz+/hjKtyjpmle+ZNqvhi4Uf/1V8wlqazCXWz715RUMRrNT91KnsL7a17xkyE9r+PmEaAAJWoQQHYazDeZKykrsdS/OBi0jorWVOtviM8kqcG55sFv5CqJOOUYAUiyZ0LVKZseZYtzK8sqDlsaYGgJw94HAGO17ybaIFiZBixCiw7DtP1Tfpomn8k6houJl8qq3hb9N91Af+kT4YrGqrD6Q7NQY27Ln0MwyANIK0iA21vGg+oKWqg3mcsuv7dt4m9jaVxBJXYtoYRK0CCE6jEAPLRtiaxpXm5M55fUsfl1RFMXp8188MBKA7/cmOnW8bdmzf7q24ii1MBX69HE86PBhrTvu+vWQVJ5FKSiA3PJsTlNnWgDC+mlfJdMiWpgELUKIDsOWNcksqmV35HJ661lsbEHL70fTyC6svxeMbdmzZ3mDudTC1OqZlr17YfRomDABOneGTz6B3r3hp7Xa+6ePOx7fJJkWKcYVrYMELUKIDsMWtGQVZ1FmLav1uIRcfY3lbHqG+dA73IfSMpVfnJgisi17NiWlA5BRmIG1d5WuuHv3wvbt2vdWK1x/vbYnUVF5U7mNaxyPb8zlzja2oCX1ENTxcxOiqUnQIoToMALcAwBQUckqzqr1OL3LnSvTM0VkW/asnk5CUcGiWsjo363mnZ2rsgUth/Y4vp7XBJmWoO5g8oDSAsiMb7zzCqGTBC1CiA7DZDDh764VsNY1RZSYpwUctmZ0etiClg1H0sgtqnuKyBwZCQYDalER3cq0eptk9xIYO7b+C9mCFg/FsZV/bhPUtBiMEFpea5O0t/HOK4ROErQIITqUQHctOMgsrj1oSSlIASDcS3+2oleYDz1CvSkps7LmUEqdxypubpgitGv0LgwA0JZaX3ZZ/Rey7RbgoUBq+WooVa00PdQIjeUqixqlfT36S+OeVwgdJGgRQnQotrqW9KL0Gt8vKC0gtzQXgHBv/UGLoij6pog6ab1jogu8AOeCloNdPbjuhmh+9/TQgpbDhyE3F5IStCkcAN9GzLQA9LlY+/rXj1LXIlqMBC1CiA6lvhVEtiyLt9kbb7N3jcfU56IBWtCy9nAq+cWWOo81d9amoCJztQZzyfnJ2gqinj1rHfPuhSEcjPTgmeBALO7A+PHg5wcDu2sHqGYwe7l077WKPlvrDZOfCqe2Nu65hXCSBC1CiA7F1qultqAluUCbXgnzcn16pW+kLzHBXhRbrPx2uO4pInNnLdMSkm0FIDG/PDtz3nk1Hl9qhPWDfQE4ZTbzS+X9inzKe8qkF8F337l8/zUymqHXBdr3h1Y17rmFcJIELUKIDsWWaamtwZwt09KQoEVRFC7or03P/HG07v16bEGLb7q20aJt+wBmzarx+J29vMn1NtqfvxMWgL0M17c8aMlTtX4uja3PJdrXQ6sci3+FaCYStAghOpT6uuLaMi2uFOFW1i9S29DweGp+ncfZghaPNK3BXFJBedAyciQ88QR4ekK3brB1K9x0E78N11Y/TdyVg6fVyiEPN/4c5KON8Sn/Kz1XhVWroLT+Bne69DwfjG6QcQzSatnIUYgmJEGLEKJDcbampSGZFoBuIdq0TVxaPUFLJ62mRUlKA1UltSC1ovHdggWQkQHHjsGIEajvv89vV2j7AF2xPpPLcrVz/3JW+Y7P9kyLFbKy4I8/GvQZqnH3hejy5djxGxr33EI4QYIWIUSH0lxBS0x50JKSW0xeHcW45ogIUBQoLiGowESZWqa187fx8NDeB45mHeV0/hncDW6M2ZfHyBxtSmlftKd2rE+l6SGAb75p0GeokW3p86ltjX9uIeohQYsQokOpb3qosYIWf08zIT5uAMTVMUWkuLlhCtemonqVaFM/9rqWKjae2QjAqE6j8SpRGZCtNWs50smDYrMCMeX3XDloaezaky4jta+ygki0AAlahBAdSn37D9lqWiK8Gt7nxDZFdDwtr87jbFNE3Qu0VUH2upYqdqXswqtIZUTYcAA65ZQSWFaGxahwOMoDosqDlsLyQCUuDvY38iaHnbVrk34UCureLVuIxiZBixCiQ6m8/1B2SbbDexarhbRCbbVPQzMtoKOupbwYt0uelplJyqsetKiqSsGmTSx/qYwRy7ag3nsvSpFK/+ISAPbdcgEo5W1yCytlV1aubOjHcOQVBMHlPWROb2/ccwtRDwlahBAdSuX9hzIKHTMF6YXpWFUrRsVoz8g0RPdQbVVP/UGLlmkJ0xYQ1ZhpOZV3itGbtCDL9P06svr0hTIjA8uDlv1jukFRlnZwUaWgpSnqWmSKSLQQCVqEEB2OvRi3yv5DtnqWEM8QjAZjtXF62aeHnFz2HJCpLVGuqaZld/wmhh2rCEaSX3+dgiEXMqBYy67sKzgOReVRT+VMy5YtkFj/dgK6SNAiWogELUKIDse2aWLVYtyGbJRYk+6VpofUOgpibTUtXuW1LzUFLemrf8TNAnkRfnhP+P/27jw6yup+/Pj7mT37nkz2hLATAQWFgKCCoiCCSz3W+lWsv1pRsSr11OK3/Umt38JRv1b9WrcC/bVfW9FTxRUtqBDFoEDYAsTIkoWQhJBA9mUyM/f3x5MMDFlIQpYO+bzOmTPJM/c+8zz33Ml8cteZKIeDwtU5JGVZsbQo8qvzqW+dPIQlyDtzX6+O6wlassHt7ttzC9EFCVqEEENOZ6vi9sUS/mdKivBH06Cu2cmJuuZO01laW1pMx0+BUh0GLcFf7wXAPXsa8c89R/D8+aCgMS+AX78PuN0csFrA5Adz5npn7usuouix+t5GzdVwIrdvzy1EFyRoEUIMOZ2t1dJX053bWE1GEsL0NVS6mvZsaltgrqmZoEZ9B2qHy+F5vaaihOF5eitM0k0/wRgURPxzz5Lwy5vRjIr0Qy7u+tLNPqsF/ELb7xL9+edQ33UXVY8YTZAyQ/85t49bcYToggQtQoghp7O1Wvq6pQUgNVIfjHuki8G4BosFY0QEAPZ6M3A6gAL44bN3MLmhNNpMbPqlnuNB06cQN0UPvK7frqg9agO/MJg7F0ym02/Q3AwbNvTZPQEw7ib9ef97fXteIbogQYsQYshpC0o8Oyq38uw7FNA3Y1oARkTrQcuBkpou05li9Gsa1sECc3V7dgNQOeastWP8IwhOasIxUR80bM8zgy0UwsJg5kzvtH099Xn0PH0fohPfw/EDfXtuITohQYsQYshJDUkFIL863+t4aZ0exMQFxPXZe12SpLfq7CjseNuANuYYPSBJbNIH776zex+f7dOvx5inX6d79DDvTAGRep4UvetodAGcoHVJ/7O7iD7+GFztF9PrNVuIvoEiSGuLGDAStAghhpy2oOVY3TGaXfoAWbdye9ZHiQ2I7bP3mpyiBy3fl9VQ09T5rsttLS32er1b5/29B7j/7zv5Yl8JwQX6gnf+F03wzuSvdymFWU9xPNKI2QVHDrWuvnt20FJRAVu3nu/teBt3s/68f13fbxcgRAckaBFCDDkRtgiCLEG4lZuimiIAKhorcLqdGDUjUf5RffZeMcE2ksL9UQp2FVV1ms5s11taIur0ecuauQql4Lk/b8DicNNkBvuYS7wz+YUBGpoGx8fqLSyO/a0tOqmpcNFF3unbuogOHdKDmPM16jp9tlLlIcj79PzPJ8Q5SNAihBhyNE0jNdi7i6ikrgTQx7uYDKZO8/bG5OTWLqKCzvfqMUXr42j8T+qzhjRzNaNigogvPwzAETscLgvwzmQwtgYuYB6uj2sJO1SHq7p1e4KFC73Tf/ABPPIIjBgB0dGwZs353BZYg2DKffrPnz4OjobzO58Q5yBBixBiSEoJSQFOBy1tA1/7smuozeQUfYr1joLOx7WY7a2Df8v17p1A/3re+vlUZnAMgMN2E795t5Bt+WcFPq3jWoabKimKBKML6rZ8o792dhfRDz/Aiy/qPysFDz8MjY3ncWfAFb+C4ASoLoKv//v8ziXEOUjQIoQYkjyDcWv0oKVtJlFsYH8ELXpryK6jp2hxdbyCrClGD1qsp/RZRiZLDeEBFi5u0FuAiuPCcbrh/jezOVZ1RqDROq5lVG05h+L1rqWK3F36a5MmQUhI5xdWVwdffNHr+wLAEgBzV+o/Z70ETdVdpxfiPEjQIoQYks6eQdTWPdQfLS3DowIJ8TPT1OLudOqzqXX2kL+jGVuzot51CkdjA8bDxQCEXjKasbHBVNY7eOaz709nbA1arApaQvXZQScO7NRfMxhg9OiuL64vpkKPng/hw8DlgMI+HuwrxBkkaBFCDEltQUtBdQHqjKXz+yNoMRg0JrWOa9lZ1HEXkTEwAJfNH4CIWn18SunerRicLupsEDl8LMsXjANgy8GK03sZtQYtAKl+TQDUH/qBRmdra8yoUV1f3Ecfnf/+QZp2eoXcgq/P71xCdEGCFiHEkJQYmIhRM9LgbKC8oZyS+v5raQEYFxcMQF5ZbadpqgP1wCa+QU9blb0NgEOxGkkhyUxMDMVmNlBZ7+BQ69iXM4OWq036uaMqnbyZ8zf94LmClrIy+O47PXA589FTqa2L2eV/1fO8QnSTBC1CiCHJbDSTGJQI6ONaPGNa+iloGWXXd17O7SRoUUpRatZXz01t1p8de/RNEvMSNJKDk7GYDJ4Wm2/bBuS2DsQF8A9w4baYMLvg4y2rqGqqOnf3EMC0aWA0nn7YbHDjjT3bryjlcv25LAcaOp8lJcT5kKBFCDFktc0g2lexj1qHHkz0x0BcgNF2vfXk4PFa3O72C7EVn2rkmFkPbFJa9DVXTPv16c55CZAUlATAlFS9ZeXbI5V6xjNaWjQN/FL1VXPDjjewrWzbuVtaWrk1jYrwcJotFmhp0adHL1/e/RsMskPkKEBB4TfdzydED0jQIoQYskaEjgBg3cF1AARbggkwB3SVpddSIvyxmAw0OFwcPdV+PZNt+SeptOkzfaLqNcJrFLaKWtwalCUHe3amnjpMD1K+O3JSH9fif7qlBZMf1rThAMRXwpHqIzB8uD4g9xyqQkI4ERVNYWISTqM+poa1a3u20m1q67iW/K/B5ex+PiG6SYIWIcSQddPwmzBqRopq9VVx4wL7bs+hs5mMBkbG6N0+uaXtu4i25Z+kwk8PWkJqnIw8pgcLBdEwJuFiNE2fzjwhMQSryUBFXTOHT9SDf/jpk/iFYknTW1riK5QetFitkJICQL2/P/V+/p7kdQFmWlrjk+JIvYXJZTJxLC4OBVBcDLt2df8m2wbjbl8Fv4+AtXd0K1vVd9vI+8VSnCelW0l0TYIWIcSQlRicyLzUeZ7f7QH2LlKfv1ExnQ/G3V5wuqXF/2Qjo1qDlvwkC/859T896awmo2cTxu/yK73GtGALxTqsNWipVBRUF7S+8SiaLRaKEhIpSkzEYTJz8M65zH5tInetXUjdjm/Boq8C3GIw0uAfQFlMjB64fPBB928wdSZYg0G1bsz4/cdQtu+c2XJ+8zTuDZ+y45mXu/9eYkiSoEUIMaT9bPzP0NBbMfprEG6bMbH6mJXvy7zXaik+1cCRinoq/UMBMJ+oYlyhHrSMv+pW4gPjvdJnpOldRG9vP4rbdlZLy7A0QO8eyq86glu5YdQoTkRG6oNeNI2T4WE8nVFHg6uRffWHeemrFzG7WqgINPPctFkooCo0jNIYO6onQYt/ODy4DX6eCaOu149l/78us7ScPEV48SEA1OYvTk/lFqIDfbvBhhBC+JhhIcOYN2wenxz5hDHhY/r1vdpmEJ3d0rLp+3IA4kelwmYNqmtJaX0t49qftjvP7Zcl8XrmYfYWV/PR99UsNPmBsxFsoVhSksFgIKDZzT0fNnDkh2WUOqxEBgV78leEh5JrOImfyZ8Wdwu2HbsB2DXcSfZl+3mu4cc8lr2W6tBQtNIy7MOHoyUl9exmQ2tgPLB1NfxxB7g7/h/5B5cFQ2ugElpVTsWVs4ky9uytRB967DGYN+/c6QaJBC1CiCHvqWlPsSBtAZfZL+vX92mbQZRfWU+jw4WfRf92/qI1aMm4eBhxzz1L5Rt/pjkvD+uIEZji2o+ziQqycv+VaTy34Qee+SyPBf7haDXHwC8Ug9WKMT4B19EirsxRtOR8SFsH0ub4iaRVF5NYV8HsPYqRD9yPRQsi9pXfArA3zYTBWs7mEQlYnLfwiz3vUhUWhqX8OBGHD/f8hhMCIRycJ77lZEkwQXW1+DU1eSUpu2gqZ95h7olaonJ3tDuVAtwGAy6jkRajiTqbP3VWfxosNhwmCw6TGafRiDJpGEygGRWaETRNYdBA09x6QxMKpSncBvRnFErTz6801foMCv1ntwa0vq5fx+n0bdeFJ0/7awY9v9fvtE/bG33dJmVyO5lXWtrHZ+1bErQIIYY8i9HCtLhp/f4+UUFWIgIsVNY72F9SzeSUcBocTrIO69OXZ4+OJiQmjeB582g+eBBTRIRnAO7Z/s/lw3jz2yKOVTVyLDSABABbKAB/n7iAZPP/UhZTwyUNqSTvOUKLZmR90hQSNSMPZVVwQ7ZGeNgNPPnalyw/BU6DkZDpl8OJr4kP+JbPht1IcEs9P839jPKoaGzNzQQ0nHsX52aLBYPbjdnphJ0OnDP8KDAn0hJh4li0nYmjD6HtdECBCwUEqmYAvhyvMWuvwmSCej9/TgWFcCIojGaLFYNBYXO1YG4bK3MGE2DChT8u/Vu8pfUhemzfaPNgX8I5SdAihBADaFJyGBsOHOfBf+zkb/dMobCyHofTTWK4H8Oj9dlFmqZhGzmyy/P4WYw8ecNYHvjHTo7UW0kwgssawoHiav5qTMEyewrWyC/5yphGXeSPuLX+MNfkbWX1HSe5czeEVbt44TdvMPF4AQDGiycxe/R8Npz4msCkAq7cmc07I2cTV3+Sa4u2URYVzbDCAjoOoXTNZjMHU9NQaIw5lIe220VRSyQtdfpXjc3VQkNMAAE/NsGf66lqDCC4pRGHCf5+lYHLD7gIc9RR1NoVZcONzd0IZyzQq5ncuK2KJivUWaHWqlFlMVBr0WgxQYsRnG0PA7iMGm4NXAa9NcStnX42ucEIGBQYFRjd+kBPo1s/ZnKDQWkYlP671vrw/A5orXm0tt9bn9uaQTo61nb8bNo5Xj87TV9LO9T5LuT/LiRoEUKIAfTUwnQKKuv54XgdN7/yDVFBVgBmj47ptFWlM3MviuXFH19M4T9jgRzWF1vZcrIQAHdzFAAl9QXUBF3LpY/Mp27nu7ib/sS/LjFx2xYnN+37F7EN+hdV0gM/JyXxYmxGG8XNZTzzf2cy5qPjrE6/nhkle8AGtb94mODhaZ1eT87nWwjI2wso9s+Zj9HlxFh4GKPNhTFM4Sg18X1BMClTTxJ8bwoFe8ZhO3KQA4katf4am8ZrXLtTcdwvjOrQQOJCTxEfXEp+OOwON/FduIWcAAvOTsopyG0mXgVhdwcSrQKIcvsTofwIUzZClY1gZSVYWQlUFgIwY+gyBBuCrgKmTh3sq+hSr4KWV155hWeffZbS0lLGjRvHCy+8wIwZMzpNn5mZydKlS9m/fz9xcXH86le/YvHixb2+aCGE8FX2EBvv3JfBz/+WzbaCk9RX6l0us0ZH9+p8CybE8a+Wp7nnvfF8nZuGZjwGgNWtT992mcoJspqYnBrBf50ohYPwyYh0bszaR1KtPpbGb+JEAqZNQ9M0ZiTMYGPhRt4++TlPP/406XtLWXd4JnfkbeT7PTtwTphCRbPG1f9xA36B/jTt2w/KjTE6GuurbwB6w4jlSB6gT6G2z6xhp59G3AdBmAst/CMsltm73NjcBwHYMk4jzeDP6msbyM9w8pizgSx3IW8E+LHDFtouSAm3hTMmYgwjw0YyInQEKcEpJAUnEWIN6VUZCt+hqR7OL3v77be58847eeWVV5g+fTqvv/46q1at4sCBAyR1MLo8Pz+f9PR07r33Xu677z6++eYbHnjgAd566y1uueWWbr1nTU0NISEhVFdXExwcfO4MQgjxb87tVmwrOMnHe0uwmow8MW8MRkPv//P/1T/38M6OYgBGxQQxa0wIbx7/DwDitesYEd9EZnEmCkVDwWLu35rN9QVbAUj88xsEtv7jua10Gz/b8DMUimWXLeMnY37CkjdfZ9FzLxB4xhjaBouZphAr4Sf0jRtrA4wE1bs4kAgFMRrzduhfLf878yqs1xzjnw1HWPEXJ2llp89xNE6xdqqRPSM1Vl/zBnd+fh8GpdAA1xmBSkJgAlPjpjI5ZjIToycSFxDX41YpMTj6+vu7x0HLlClTuOSSS3j11Vc9x8aMGcONN97IihUr2qV//PHH+fDDD8nNzfUcW7x4MXv27GHr1q3dek8JWoQQomu1TS3MffFrik818vuF45gxIop57y7EaDvulW5uygI2ZM5klKuG361/Fv+L0klcvdorCFizbw1/zP4jBs1ApC2S8sZyMnLd3PCdG4cJoqohqnWpmWaTPs7C0jpG9r9uM1KWEsGd/6ymOMbB2pkG0PSVcG7bN4KbP8qlJNifv81xsFPfRYErLVH8z+1f8qO3riTPoQ9Kvih8LNekXsespFkkByf3d/GJftLX39896h5yOBxkZ2fz61//2uv4nDlzyMrK6jDP1q1bmTNnjtexa6+9ltWrV9PS0oLZ3H60cnNzM83NzZ7fa2pq2qURQghxWpDNzFv3TiXrcAU/mpSI0aAxK/QJdp/8hqsuUoTZArlpxE2khqTymyktmAwatsevRzOb27Va/HTcTymqKeLdg+9S3qh3Idnn/5jD8yfzj8LlNLXUM6EwgOCqOPaOrcTa4GTu5iDqSeT3S/6blMhgPr6kiE3FK6FiC2aDmRUzVpA2dzorI75gzEVpPDkthNe2/Z5vj+/grimPA/DMvDVkHctievx0UkNSB7wMxb+/HrW0lJSUEB8fzzfffMO0aaenB/7hD3/gr3/9K3l5ee3yjBw5krvvvpsnnnjCcywrK4vp06dTUlJCbGz7FSiXL1/O7373u3bHpaVFCCEGhlKKg1UHcbqdRPpFEu2vj7k5XHWY3eW7mZs6F3+zvyftjsJT2ExGLko4Pa6kxd3Ch4c+ZEzEGMZGjB2U+xCDa1BbWtqcHZUrpbrsX+wofUfH2yxbtoylS5d6fq+pqSExMbE3lyqEEKIXNE1jZFj7addpoWmkhaa1S3tpSni7tGaDmVtGdm/sohDd0aOgJTIyEqPRSFlZmdfx8vJyYmJiOsxjt9s7TG8ymYiIiOgwj9VqxWq19uTShBBCCHGB69GGiRaLhUmTJrFx40av4xs3bvTqLjpTRkZGu/QbNmxg8uTJHY5nEUIIIYToSI93eV66dCmrVq1izZo15Obm8uijj1JUVORZd2XZsmXcddddnvSLFy+msLCQpUuXkpuby5o1a1i9ejWPPfZY392FEEIIIS54PR7Tctttt1FZWclTTz1FaWkp6enprF+/nuRkfUpaaWkpRUVFnvSpqamsX7+eRx99lD/96U/ExcXx0ksvdXuNFiGEEEII6MU6LYNB1mkRQgghfE9ff3/3uHtICCGEEGIwSNAihBBCCJ8gQYsQQgghfIIELUIIIYTwCRK0CCGEEMInSNAihBBCCJ8gQYsQQgghfIIELUIIIYTwCb3a5Xmgta1/V1NTM8hXIoQQQojuavve7qt1bH0iaKmtrQUgMTFxkK9ECCGEED1VW1tLSEjIeZ/HJ5bxd7vdlJSUEBQUhKZp3cpTU1NDYmIiR48elaX/B4GU/+CS8h9cUv6DS8p/8Jxd9kopamtriYuLw2A4/xEpPtHSYjAYSEhI6FXe4OBgqbSDSMp/cEn5Dy4p/8El5T94ziz7vmhhaSMDcYUQQgjhEyRoEUIIIYRPuGCDFqvVypNPPonVah3sSxmSpPwHl5T/4JLyH1xS/oOnv8veJwbiCiGEEEJcsC0tQgghhLiwSNAihBBCCJ8gQYsQQgghfIIELUIIIYTwCRK0CCGEEMIn+FTQ8tVXX3HDDTcQFxeHpmm8//77Xq/ffffdaJrm9Zg6dapXmubmZh566CEiIyMJCAhgwYIFFBcXD+Bd+KYVK1Zw6aWXEhQURHR0NDfeeCN5eXleaZRSLF++nLi4OPz8/LjyyivZv3+/Vxop/97pTvlL/e8/r776KuPHj/es8pmRkcGnn37qeV3qfv86V/lL3R9YK1asQNM0HnnkEc+xgfoM+FTQUl9fz4QJE3j55Zc7TXPddddRWlrqeaxfv97r9UceeYR169axdu1atmzZQl1dHfPnz8flcvX35fu0zMxMHnzwQb799ls2btyI0+lkzpw51NfXe9I888wzPP/887z88sts374du93ONddc49nwEqT8e6s75Q9S//tLQkICK1euZMeOHezYsYNZs2axcOFCzx9lqfv961zlD1L3B8r27dt54403GD9+vNfxAfsMKB8FqHXr1nkdW7RokVq4cGGneaqqqpTZbFZr1671HDt27JgyGAzqs88+66crvTCVl5crQGVmZiqllHK73cput6uVK1d60jQ1NamQkBD12muvKaWk/PvS2eWvlNT/gRYWFqZWrVoldX+QtJW/UlL3B0ptba0aMWKE2rhxo7riiivUww8/rJQa2L//PtXS0h2bN28mOjqakSNHcu+991JeXu55LTs7m5aWFubMmeM5FhcXR3p6OllZWYNxuT6ruroagPDwcADy8/MpKyvzKlur1coVV1zhKVsp/75zdvm3kfrf/1wuF2vXrqW+vp6MjAyp+wPs7PJvI3W//z344INcf/31XH311V7HB/Iz4BO7PHfX3LlzufXWW0lOTiY/P5/f/va3zJo1i+zsbKxWK2VlZVgsFsLCwrzyxcTEUFZWNkhX7XuUUixdupTLL7+c9PR0AE/5xcTEeKWNiYmhsLDQk0bK//x1VP4g9b+/5eTkkJGRQVNTE4GBgaxbt46xY8d6/uBK3e9fnZU/SN0fCGvXrmXnzp1s37693WsD+ff/ggpabrvtNs/P6enpTJ48meTkZD755BNuvvnmTvMppdA0bSAu8YKwZMkS9u7dy5YtW9q9dnY5dqdspfx7prPyl/rfv0aNGsXu3bupqqri3XffZdGiRWRmZnpel7rfvzor/7Fjx0rd72dHjx7l4YcfZsOGDdhstk7TDcRn4ILrHjpTbGwsycnJHDx4EAC73Y7D4eDUqVNe6crLy9tFiKJjDz30EB9++CGbNm0iISHBc9xutwO0i5jPLFsp//PXWfl3ROp/37JYLAwfPpzJkyezYsUKJkyYwIsvvih1f4B0Vv4dkbrft7KzsykvL2fSpEmYTCZMJhOZmZm89NJLmEwmTxkOxGfggg5aKisrOXr0KLGxsQBMmjQJs9nMxo0bPWlKS0vZt28f06ZNG6zL9AlKKZYsWcJ7773Hl19+SWpqqtfrqamp2O12r7J1OBxkZmZ6ylbKv/fOVf4dkfrfv5RSNDc3S90fJG3l3xGp+31r9uzZ5OTksHv3bs9j8uTJ3HHHHezevZthw4YN3Gegl4OIB0Vtba3atWuX2rVrlwLU888/r3bt2qUKCwtVbW2t+uUvf6mysrJUfn6+2rRpk8rIyFDx8fGqpqbGc47FixerhIQE9fnnn6udO3eqWbNmqQkTJiin0zmId/bv7/7771chISFq8+bNqrS01PNoaGjwpFm5cqUKCQlR7733nsrJyVG33367io2NlfLvA+cqf6n//WvZsmXqq6++Uvn5+Wrv3r3qiSeeUAaDQW3YsEEpJXW/v3VV/lL3B8eZs4eUGrjPgE8FLZs2bVJAu8eiRYtUQ0ODmjNnjoqKilJms1klJSWpRYsWqaKiIq9zNDY2qiVLlqjw8HDl5+en5s+f3y6NaK+jcgfUX/7yF08at9utnnzySWW325XValUzZ85UOTk5XueR8u+dc5W/1P/+dc8996jk5GRlsVhUVFSUmj17tidgUUrqfn/rqvyl7g+Os4OWgfoMaEop1csWIyGEEEKIAXNBj2kRQgghxIVDghYhhBBC+AQJWoQQQgjhEyRoEUIIIYRPkKBFCCGEED5BghYhhBBC+AQJWoQQQgjhEyRoEUIIIYRPkKBFCCGEED5BghYhhBBC+AQJWoQQQgjhE/4/MxEs+iBF0ncAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(strikes, spreads, label=\"Spread\", linewidth=3, color=\"red\")\n",
    "plt.plot(strikes, np.abs(prices - Hest_pred), label=\"Hest\")\n",
    "plt.plot(strikes, np.abs(prices - Hest_Feller_pred), label=\"Hest with Feller\")\n",
    "plt.plot(strikes, np.abs(prices - Mert_pred), label=\"Mert\")\n",
    "plt.plot(strikes, np.abs(prices - VG_pred), label=\"VG\")\n",
    "plt.title(\"Pricing errors\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Implied volatility smile generated by the pricing models!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "IV_VG = []\n",
    "IV_Mert = []\n",
    "IV_Hest = []\n",
    "IV_Hest_F = []\n",
    "for i, K in enumerate(strikes):\n",
    "    IV_VG.append(implied_vol_minimize(VG_pred[i], S0=S0, K=K, T=T, r=r))\n",
    "    IV_Mert.append(implied_vol_minimize(Mert_pred[i], S0=S0, K=K, T=T, r=r))\n",
    "    IV_Hest.append(implied_vol_minimize(Hest_pred[i], S0=S0, K=K, T=T, r=r))\n",
    "    IV_Hest_F.append(implied_vol_minimize(Hest_Feller_pred[i], S0=S0, K=K, T=T, r=r))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1600x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(16, 4))\n",
    "ax1 = fig.add_subplot(121)\n",
    "ax2 = fig.add_subplot(122)\n",
    "ax1.plot(strikes, option_type.IV_mid, \".\", label=\"BS inversion\")\n",
    "ax2.plot(strikes, option_type.IV_mid, \".\", label=\"BS inversion\")\n",
    "ax1.plot(strikes, IV_VG, label=\"VG\")\n",
    "ax2.plot(strikes, IV_VG, label=\"VG\")\n",
    "ax1.plot(strikes, IV_Mert, label=\"Mert\")\n",
    "ax2.plot(strikes, IV_Mert, label=\"Mert\")\n",
    "ax1.plot(strikes, IV_Hest, label=\"Hest\")\n",
    "ax2.plot(strikes, IV_Hest, label=\"Hest\")\n",
    "ax1.plot(strikes, IV_Hest_F, label=\"Hest Feller\")\n",
    "ax2.plot(strikes, IV_Hest_F, label=\"Hest Feller\")\n",
    "ax2.axis([290, 350, 0.14, 0.4])\n",
    "ax2.axvline(S0, color=\"black\", label=\"ATM\", linewidth=1)\n",
    "ax2.set_title(\"Model Implied volatilities. ATM Zoom\")\n",
    "ax1.set_xlabel(\"Strike\")\n",
    "ax1.set_ylabel(\"Imp Vol\")\n",
    "ax1.set_title(\"Model Implied volatilities\")\n",
    "ax2.set_xlabel(\"Strike\")\n",
    "ax2.set_ylabel(\"Imp Vol\")\n",
    "ax1.legend()\n",
    "ax2.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The pricing models produce a good fit in the neighborhood of the ATM region.\n",
    "\n",
    "In this region, the Merton model is the best.\n",
    "\n",
    "#### Comment:\n",
    "As expected the Heston model with NO Feller condition provides much better results."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id='sec2.2'></a>\n",
    "# 6 months maturity\n",
    "\n",
    "\n",
    "Now let's go over the steps taken before and calculate the volatility smile for options with a maturity of 6 months.\n",
    "\n",
    "Sorry. The code will be a little repetitive."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "S0 = 312.23\n",
    "r = 0.015\n",
    "T = 197 / 365\n",
    "opt_param = Option_param(S0=S0, K=S0, T=T, v0=0.04, exercise=\"European\", payoff=\"call\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Strike</th>\n",
       "      <th>Bid</th>\n",
       "      <th>Midpoint</th>\n",
       "      <th>Ask</th>\n",
       "      <th>IV</th>\n",
       "      <th>Type</th>\n",
       "      <th>Spread</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>499</th>\n",
       "      <td>535</td>\n",
       "      <td>223.36</td>\n",
       "      <td>223.98</td>\n",
       "      <td>224.59</td>\n",
       "      <td>0.5099</td>\n",
       "      <td>Put</td>\n",
       "      <td>1.23</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>500</th>\n",
       "      <td>540</td>\n",
       "      <td>228.35</td>\n",
       "      <td>228.97</td>\n",
       "      <td>229.58</td>\n",
       "      <td>0.5168</td>\n",
       "      <td>Put</td>\n",
       "      <td>1.23</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>501</th>\n",
       "      <td>545</td>\n",
       "      <td>233.33</td>\n",
       "      <td>233.95</td>\n",
       "      <td>234.56</td>\n",
       "      <td>0.5233</td>\n",
       "      <td>Put</td>\n",
       "      <td>1.23</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>502</th>\n",
       "      <td>550</td>\n",
       "      <td>238.32</td>\n",
       "      <td>238.94</td>\n",
       "      <td>239.55</td>\n",
       "      <td>0.5301</td>\n",
       "      <td>Put</td>\n",
       "      <td>1.23</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>503</th>\n",
       "      <td>555</td>\n",
       "      <td>243.31</td>\n",
       "      <td>243.93</td>\n",
       "      <td>244.54</td>\n",
       "      <td>0.5368</td>\n",
       "      <td>Put</td>\n",
       "      <td>1.23</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     Strike     Bid  Midpoint     Ask      IV Type  Spread\n",
       "499     535  223.36    223.98  224.59  0.5099  Put    1.23\n",
       "500     540  228.35    228.97  229.58  0.5168  Put    1.23\n",
       "501     545  233.33    233.95  234.56  0.5233  Put    1.23\n",
       "502     550  238.32    238.94  239.55  0.5301  Put    1.23\n",
       "503     555  243.31    243.93  244.54  0.5368  Put    1.23"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "filename = \"data/\" + \"spy-options-exp-2021-01-15-weekly-show-all-stacked-07-05-2020.csv\"\n",
    "data = pd.read_csv(filename, usecols=[1, 4, 5, 6, 9, 12])\n",
    "data[\"IV\"] = data[\"IV\"].str.rstrip(\"%\").astype(\"float\") / 100.0  # transforms the percentage into decimal\n",
    "data[\"Spread\"] = data.Ask - data.Bid  # spread column\n",
    "data.tail()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [],
   "source": [
    "CALL = data[data.Type == \"Call\"]\n",
    "PUT = data[data.Type == \"Put\"].reset_index(drop=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Plots, root finder:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [],
   "source": [
    "IV_call = CALL.apply(\n",
    "    lambda x: implied_volatility(x[\"Midpoint\"], S0, x[\"Strike\"], T, r, payoff=\"call\", disp=False), axis=1\n",
    ")\n",
    "CALL = CALL.assign(IV_mid=IV_call.values)\n",
    "IV_put = PUT.apply(lambda x: implied_volatility(x[\"Midpoint\"], S0, x[\"Strike\"], T, r, payoff=\"put\", disp=False), axis=1)\n",
    "PUT = PUT.assign(IV_mid=IV_put.values)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1700x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(17, 4))\n",
    "ax1 = fig.add_subplot(131)\n",
    "ax2 = fig.add_subplot(132)\n",
    "ax3 = fig.add_subplot(133)\n",
    "ax1.plot(CALL.Strike, CALL.Midpoint, \"-\", label=\"CALL\")\n",
    "ax1.plot(PUT.Strike, PUT.Midpoint, \"-\", label=\"PUT\")\n",
    "ax2.plot(CALL[CALL.IV_mid != -1].Strike, CALL[CALL.IV_mid != -1].IV_mid, \".\", label=\"BS inversion\")\n",
    "ax2.plot(CALL.Strike, CALL.IV, \".\", label=\"provided vol\")\n",
    "ax2.plot(CALL[CALL.IV_mid == -1].Strike, CALL[CALL.IV_mid == -1].IV_mid, \".\", label=\"inconsistent values\")\n",
    "ax3.plot(PUT[PUT.IV_mid != -1].Strike, PUT[PUT.IV_mid != -1].IV_mid, \".\", label=\"BS inversion\")\n",
    "ax3.plot(PUT.Strike, PUT.IV, \".\", label=\"provided vol\")\n",
    "ax3.plot(PUT[PUT.IV_mid == -1].Strike, PUT[PUT.IV_mid == -1].IV_mid, \".\", label=\"inconsistent values\")\n",
    "ax1.set_title(\"Price curve\")\n",
    "ax2.set_title(\"CALL Volatility smile\")\n",
    "ax3.set_title(\"PUT Volatility smile\")\n",
    "ax1.set_xlabel(\"strike\")\n",
    "ax2.set_xlabel(\"strike\")\n",
    "ax3.set_xlabel(\"strike\")\n",
    "ax1.legend()\n",
    "ax2.legend()\n",
    "ax3.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [],
   "source": [
    "CALL = CALL[CALL.IV_mid != -1].reset_index(drop=True)\n",
    "PUT = PUT[PUT.IV_mid != -1].reset_index(drop=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Calibration\n",
    "\n",
    "Since we found that the Feller condition is not satisfied, I consider only the unconstrained problem."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [],
   "source": [
    "option_type = CALL\n",
    "prices = option_type.Midpoint.values\n",
    "strikes = option_type.Strike.values\n",
    "spreads = option_type.Spread.values\n",
    "payoff = \"call\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [],
   "source": [
    "def f_Mert(x, sig, lam, muJ, sigJ):\n",
    "    Merton_param = Merton_process(r=r, sig=sig, lam=lam, muJ=muJ, sigJ=sigJ)\n",
    "    opt_param = Option_param(S0=S0, K=x, T=T, v0=0.04, exercise=\"European\", payoff=payoff)\n",
    "    Mert = Merton_pricer(opt_param, Merton_param)\n",
    "    return Mert.closed_formula()\n",
    "\n",
    "\n",
    "init_vals = [0.2, 1, -0.5, 0.2]\n",
    "bounds = ([0, 0, -np.inf, 0], [2, np.inf, 5, 5])\n",
    "params_Mert = scpo.curve_fit(f_Mert, strikes, prices, p0=init_vals, bounds=bounds, sigma=spreads)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [],
   "source": [
    "def f_VG(x, theta, sigma, kappa):\n",
    "    VG_param = VG_process(r=r, theta=theta, sigma=sigma, kappa=kappa)\n",
    "    opt_param = Option_param(S0=S0, K=K, T=T, v0=0.04, exercise=\"European\", payoff=payoff)\n",
    "    VG = VG_pricer(opt_param, VG_param)\n",
    "    return VG.FFT(x)\n",
    "\n",
    "\n",
    "init_vals = [-0.05, 0.2, 0.1]\n",
    "bounds = ([-np.inf, 0, 0], [np.inf, 5, np.inf])\n",
    "params_VG = scpo.curve_fit(f_VG, strikes, prices, p0=init_vals, bounds=bounds, sigma=spreads)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [],
   "source": [
    "def f_Hest(x, rho, sigma, theta, kappa, v0):\n",
    "    Heston_param = Heston_process(mu=r, rho=rho, sigma=sigma, theta=theta, kappa=kappa)\n",
    "    opt_param = Option_param(S0=S0, K=K, T=T, v0=v0, exercise=\"European\", payoff=payoff)\n",
    "    Hest = Heston_pricer(opt_param, Heston_param)\n",
    "    return Hest.FFT(x)\n",
    "\n",
    "\n",
    "init_vals = [-0.6, 0.1, 0.04, 10, 0.01]\n",
    "bounds = ([-1, 1e-15, 1e-15, 1e-15, 1e-15], [1, np.inf, 2, np.inf, 2])\n",
    "params_Hest = scpo.curve_fit(f_Hest, strikes, prices, p0=init_vals, bounds=bounds, sigma=spreads)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Now we can price the options using the just calibrated parameters."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [],
   "source": [
    "opt_param = Option_param(S0=S0, K=K, T=T, v0=params_Hest[0][4], exercise=\"European\", payoff=payoff)\n",
    "Merton_param = Merton_process(\n",
    "    r=r, sig=params_Mert[0][0], lam=params_Mert[0][1], muJ=params_Mert[0][2], sigJ=params_Mert[0][3]\n",
    ")\n",
    "Mert = Merton_pricer(opt_param, Merton_param)\n",
    "VG_param = VG_process(r=r, theta=params_VG[0][0], sigma=params_VG[0][1], kappa=params_VG[0][2])\n",
    "VG = VG_pricer(opt_param, VG_param)\n",
    "Heston_param = Heston_process(\n",
    "    mu=r, rho=params_Hest[0][0], sigma=params_Hest[0][1], theta=params_Hest[0][2], kappa=params_Hest[0][3]\n",
    ")\n",
    "Hest = Heston_pricer(opt_param, Heston_param)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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OnWLkyJEXHdaYW/+uEBGR/Klx48Y8+eSTPPHEE/z00080adKEkJAQYmNjWbt2LdWrV6dXr158+eWXTJ06lfbt23PDDTdgmiYLFy7k1KlT3HnnnWnPp/1Q7YdK3qFJV5F/sVqtLFmyhMmTJ/PBBx8wZswYbDYb119/PU2bNr3kJ42XMnnyZPr06cODDz5IYmIiTZs2ZfXq1VSqVIl169YxYsQI+vTpQ1JSElWqVGHWrFkXnbjDl0qUKMG6desYPnw4w4cPJyEhgRtuuIHx48czcODAtO2Cg4NZuXIlTz/9NMOGDcMwDO666y4WLFhw0clEmjdvzsaNG3n11VcZMGAAJ0+epHjx4lStWpVOnTpd67coIiLXSPfu3Xn66aepWrUqDRo0uOQ2FSpUYMuWLUyZMoVFixbx3nvvkZiYSLFixahZsyavvvrqNenk8OHDKVmyJG+++SYff/wxQUFBNGvWjNGjR6c7+Zd38njcuHF07NiRcuXKMWLECNasWZPu5Fi59e8KERHJv2bMmMEtt9zCjBkzmDp1Kh6Ph6ioKBo3bpx2QqkKFSpQpEgRxo8fz+HDhwkICKBSpUrMnj073ZGc2g/VfqjkHYZ54TFRIiIiIiIiIiIiInJFtKariIiIiIiIiIiISC7SpKuIiIiIiIiIiIhILtKkq4iIiIiIiIiIiEgu0qSriIiIiIiIiIiISC7SpKuIiIiIiIiIiIhILsrRpOu0adOoUaMGYWFhhIWF0bBhQ7766qu0+03TZOTIkURFRREUFESzZs34/fff0z1HcnIy/fr1Izw8nJCQENq2bcuhQ4dy592IiIjkUWqoiIjI5VFDRUTEHxmmaZrZ3fiLL77AarVy4403AjBnzhxee+01fvnlF2666SbGjRvHq6++yuzZs6lYsSKvvPIK33//Pbt27SI0NBSAXr168cUXXzB79myKFy/OoEGD+Pvvv9m8eTNWqzVb4/B4PBw+fJjQ0FAMw7iMty0iIvmBaZqcPn2aqKgoLJa8ffCGGioiInmJGqqGiojI5cl2Q80rVLRoUfO9994zPR6PGRERYY4dOzbtvnPnzpkOh8OcPn26aZqmeerUKdNut5sLFixI2+avv/4yLRaLuXz58my/5sGDB01AF1100UUXXUzAPHjw4JXmzCfUUF100UUXXXx9UUPVUF100UUXXS7vklVDbVwmt9vNp59+ytmzZ2nYsCExMTEcOXKEu+66K22bwMBAmjZtyrp16+jZsyebN2/G6XSm2yYqKopq1aqxbt06WrZsecnXSk5OJjk5Oe1n8/yXcw8ePEhYWNjlvgUREfFzCQkJlC5dOu1bLP5CDRUREV9TQ9VQERG5PNltaI4nXX/77TcaNmzIuXPnKFy4MIsWLaJq1aqsW7cOgFKlSqXbvlSpUuzfvx+AI0eOEBAQQNGiRS/a5siRIxm+5pgxY3jppZcuut27po+IiBRs/nKInxoqIiJ5jRqqhoqIyOXJqqE5XrynUqVKbNmyhQ0bNtCrVy8ef/xxtm/fnuELmqaZ5SCy2mb48OHEx8enXQ4ePJjTYYuIiPicGioiInJ51FAREfE3OZ50DQgI4MYbb6Ru3bqMGTOGmjVrMnnyZCIiIgAu+qTw2LFjaZ86RkREkJKSwsmTJzPc5lICAwPTPk3Up4oiIuKv1FAREZHLo4aKiIi/ueLTVJqmSXJyMtHR0URERLBixYq0+1JSUlizZg2NGjUCoE6dOtjt9nTbxMbGsm3btrRtRERECgo1VERE5PKooSIiktflaE3XESNG0Lp1a0qXLs3p06dZsGABq1evZvny5RiGwYABAxg9ejQVKlSgQoUKjB49muDgYLp06QKAw+Gge/fuDBo0iOLFi1OsWDEGDx5M9erVadGixVV5gyIiXqZp4nK5cLvdvh6KZJPVasVms/nNenOZUUNFxJ+pof5HDVVDRSRvUEP9T241NEeTrkePHuXRRx8lNjYWh8NBjRo1WL58OXfeeScAQ4YMISkpid69e3Py5EkaNGjAN998k+5sXpMmTcJms9GpUyeSkpK44447mD17Nlar9YreiIhIZlJSUoiNjSUxMdHXQ5EcCg4OJjIykoCAAF8P5YqooSLir9RQ/6WGqqEi4ltqqP/KjYYapmmauTimayIhIQGHw0F8fLzW1RGRLHk8Hnbv3o3VaqVEiRIEBATki2995HemaZKSksLx48dxu91UqFABiyX9qjjqQc7pdyYiOaGG+ic19OrQ70xEckIN9U+52dAcfdNVRMQfpaSk4PF4KF26NMHBwb4ejuRAUFAQdrud/fv3k5KSQqFChXw9JBGRAkUN9V9qqIiIb6mh/iu3GnrFJ9ISEfEX//50SvyD/txERHxPfxf7J/25iYj4nv4u9k+58edWoP/kY+OTWLc3jtj4JF8PRURExK+ooSIiIpdHDRURKRgK7PICH286wHMLfyXYTOSMUZgxHavTuV4ZXw9LREQkz1NDRURELo8aKiJScBTIb7rGxifx1sKVfGR/hRn2NzBNDyMWbtMnjSLi91avXo1hGJw6dSrDbWbPnk2RIkVy9XX37duHYRhs2bIlV59X8h41VETyKzVUrjY1VETyKzX00grkpGtM3FmsuKlmxNDQup1u1uW4TZN9cYm+HpqIyBVp1KgRsbGxOByOa/q6pUuXJjY2lmrVqmX7MSNHjqRWrVpXb1ByVaihIpJfqaFytamhIpJfqaGXViAnXaPDQzhIBK+6HgFgiO1jKlsOUS5cZ5MTkazl5XW4AgICiIiIwDCMa/q6VquViIgIbLYCu2pNgXGphlay/KWGiki2qKEXU0MLDjVURK6EGnqxvN7QAjnpGukIYkzH6nzsuYNV7poEGk4+KDaTfUdP5sn/eEUk7/h40wEaj11Jl3d/pPHYlXy86cBVfb1mzZrRr18/BgwYQNGiRSlVqhTvvPMOZ8+e5YknniA0NJTy5cvz1VdfAZc+rGP27NmUKVOG4OBgOnTowIkTJ9K9hveTvhkzZlC6dGmCg4N54IEH0j2Hx+Ph5Zdf5vrrrycwMJBatWqxfPnytPv/fViHdxzfffcddevWJTg4mEaNGrFr1660Mb300kv8+uuvGIaBYRjMnj37qvwOJXddqqEfFntfDRWRLKmhamhBl2FDj51SQ0UkU2qofza0QE66AnSuV4a1w24ntNMMztkclDizk01zh1+T/3hFxD/FxicxfOFveMzUnz0m12Qdrjlz5hAeHs7GjRvp168fvXr14oEHHqBRo0b8/PPPtGzZkkcffZTExIsPTfvxxx/p1q0bvXv3ZsuWLTRv3pxXXnnlou327NnDJ598whdffMHy5cvZsmULffr0Sbt/8uTJTJgwgddff52tW7fSsmVL2rZty+7duzMd+3PPPceECRP46aefsNlsdOvWDYDOnTszaNAgbrrpJmJjY4mNjaVz585X+JuSa+VSDd04d4QaKiIZUkPVUEl1yYbO0X6oiGRMDfXfhhbYSVdI/aTxujLlGJT0OAB9rJ9Tk91azFxELikm7mxa6LyuxTpcNWvW5Pnnn6dChQoMHz6coKAgwsPD6dGjBxUqVOCFF17gxIkTbN269aLHTp48mZYtWzJs2DAqVqxI//79admy5UXbnTt3jjlz5lCrVi2aNGnCW2+9xYIFCzhy5AgAr7/+OkOHDuXBBx+kUqVKjBs3jlq1avHGG29kOvZXX32Vpk2bUrVqVYYNG8a6des4d+4cQUFBFC5cGJvNRkREBBEREQQFBeXK70uuDW9DB1/Q0BrsUUNF5JLUUDVU/qGGikhOqKH+29ACPekKqf/xLnXfwmJ3I6yGyQT7NALMJC1mLiIXiQ4PwfKvJWqshnHV1+GqUaPGP69ntVK8eHGqV6+edlupUqUAOHbs2EWP3bFjBw0bNkx3279/BihTpgzXX399um08Hg+7du0iISGBw4cP07hx43SPady4MTt27Mj22CMjIzMcp/inmLizfHm+oTbDw0T7VOzmOTVURC6ihqqhkt6/GzrBPk0NFZFLUkP9t6EFftLV+x/vC86uxJrFuMFyhBH2+QQHWPLsAsUi4hvedbis5xcHtxoGoztWI9Jxdb9dYrfb0/1sGEa627yLlXs8nosea5rmRbdlh/c5L1wI/d+LopummeVC6dkdp/gnNVREsksNVUMlvQsbesQsSnlLrBoqIpekhvpvQ/Pm6b2uIe9/vCMWbuNZZ08+DBjDo9YVPD5tGms8NbEYMKZjdTrXK+ProYpIHtC5XhmaVCzBvrhEyoUHX/XQXamqVauyYcOGdLf9+2eAAwcOcPjwYaKiogBYv349FouFihUrEhYWRlRUFGvXrqVJkyZpj1m3bh3169e/7LEFBATgdrsv+/Hie5dq6GPWb3hs2gy+91RXQ0UkHTVUDZV//LuhHwSMVUNFJENqqH82tMBPusKF//E2IG7zYcK3z2Gc/R1aJo8j3izMiIXbaFKxRJ7/j1pEro1IR5Df/H3Qv39/GjVqxPjx42nfvj3ffPNNurM9ehUqVIjHH3+c119/nYSEBPr370+nTp2IiIgA4Nlnn+XFF1+kfPny1KpVi1mzZrFlyxY++uijyx5buXLliImJYcuWLVx//fWEhoYSGBh42c8nvpGuoT/9RfiOuYyzz6Bl8lgS1FAR+Rc1VA2Vf6Rv6GE1VEQypYb6X0ML/PICXpGOIBqWL86ems+y1xNJhHGSUfZZwLVZoFhE5Gq45ZZbeO+993jrrbeoVasW33zzDc8///xF291444107NiRu+++m7vuuotq1aoxderUtPv79+/PoEGDGDRoENWrV2f58uUsWbKEChUqXPbY7rvvPlq1akXz5s0pUaIE8+fPv+znEt9Ka2itIez1RBJp/M3L9tmAGioi/ksNlWvhwv3QPz0RaqiI5AtqaCrDvNyFFnwoISEBh8NBfHw8YWFhufrcsfFJ9Br3Dv+1j8RmeOiX0pdlZmPWDmvuN58oiEh6586dIyYmhujoaAoVKuTr4eQ5I0eOZPHixWzZssXXQ7mkzP78rmYP8qur3dDe497h0/MN7ZPSn+VmQzVUxI+poZlTQwuWa9HQ/9pfxGqYaqhIPqCGZq4gNFTfdP2XSEcQD3XowFR3ewBG2WcxsnlRYuLOajFzERGRTEQ6gniwQwemnW/oK/aZjGxeTA0VERHJghoqIpL/aNL1EjrXK8MDAydzpnh1ihhnKbN2CF3e3UDjsSv5eNMBXw9PREQkz+pcrwz3D5zMmWLVKGqcofQPaqiIiEh2dK5XhvvUUBGRfEOTrhmILBZG0j1TOGfaaWrZyiPWb/GYMGLhNn3SKCL5ysiRI/PsIR3inyKLhZHUZgrJpp1m1l/pYl2phopIvqSGSm6LLOZI19CH1FARyacKQkM16ZqJ3eZ1jHM9CMAI2zzKGbFazFxERCQbdpvXM97VGYDnbR9S1jiihoqIiGTDvxtaxjiqhoqI+CFNumYiOjyEuZ6WrHXfRLCRzCT7NAIMD+XCg309NBERkTwtOjyE2Z5WrHdXJdhIZoJ9OnbDVENFRESycGFDQ4xkJtqnqaEiIn5Ik66ZiHQEMbpjTYa5epFgBlPbsocPK6/TYuYiIiJZ8DZ0iOspTptB1LX8wYdVNqihIiIiWVBDRUTyB5uvB5DXda5XhiYV7+foxmTC/jeI2n/OoP3O69hBNGM6VqdzvTK+HqKIiEielNrQThz98Ryh64ZQe+9U2u+IZCfl1FAREZFMXKqh7XZEsYuyaqiIiJ/QN12zIdIRROF6XfjKXR+74WaSfSp2M0WLmYuIiGQh0hFESP1H+dpdlwDDzUT7NGymUw0VERHJwsUNnaqGioj4EU26ZlPMiURGOLtx3HRQ0fIXg22faDFzERGRbEhtaHeOm2FUthxkoO1TNVRERCQbvA2NM8OoYjnIQNt/1VARET+hSddsig4PId4IY4jzSQC6W7+ikWWHFjMXERHJQnR4CCcNByOc/wfAk9alNLDsUkNFRESy4G3o8LSGfkl9NVRExC9o0jWbIh1BjOlYne/Nm5nnao7FMHnX8R5G8mnW7Y3T4R0iclV07doVwzB46qmnLrqvd+/eGIZB165dr+g1Ro4cSa1ata7oOUQy423oSrMen7iaYjFM3ne8h5FyRg0Vkavi3nvvpUWLFpe8b/369RiGwc8//wzAZ599xu23307RokUJDg6mUqVKdOvWjV9++eVaDlnkki7V0JlqqIhcZV27dqV9+/YX3b569WoMw+DUqVNX/BrNmjVjwIABV/w8eZkmXXOgc70yrB3WnPKPTMYVVoaQpFjWvtWdLu/+SOOxK/l40wFfD1FE8qHSpUuzYMECkpL++Uf1uXPnmD9/PmXKXP5JFEzTxOVy5cYQRbLkbWi5h9/EFXY9hZP+YvWbPdRQEbkqunfvzsqVK9m/f/9F982cOZNatWpx8803M3ToUDp37kytWrVYsmQJv//+O++88w7ly5dnxIgRPhi5yMUu1dBVaqiISJ6nSdccinQE0aByWU61eguPaXC/9XvusmzCY6IFzUX8iWlCytlrfzHNHA/15ptvpkyZMixcuDDttoULF1K6dGlq1659wVsyGT9+PDfccANBQUHUrFmT//73v2n3ez+V/Prrr6lbty6BgYF88MEHvPTSS/z6668YhoFhGMyePRuAAwcO0K5dOwoXLkxYWBidOnXi6NGjac/n/YbsBx98QLly5XA4HDz44IOcPn36Mv5ApCCIdARRv0o54lu+icc0eNC6itstP6uhIv7GDxrapk0bSpYsmdY0r8TERD7++GO6d+/Ohg0bGD9+PBMnTmTixIncdtttREdH07RpU5577jmWLVuWy784kcv374Y+pIaK+Cc/aGhOrFu3jiZNmhAUFETp0qXp378/Z8+eTbt/6tSpVKhQgUKFClGqVCnuv/9+IPWbtGvWrGHy5Mlp+6H79u0DYM2aNdSvX5/AwEAiIyMZNmxYui8LNWvWjP79+zNkyBCKFStGREQEI0eOvCrv70rZfD0Af/VHYDV+dbehl+0LRtvfZ3NyRU6YDvbFJRLpCPL18EQkK85EGB117V93xGEICMnxw5544glmzZrFww8/DKR+S6dbt26sXr06bZvnn3+ehQsXMm3aNCpUqMD333/PI488QokSJWjatGnadkOGDOH111/nhhtuoFChQgwaNIjly5fz7bffAuBwODBNk/bt2xMSEsKaNWtwuVz07t2bzp07p3vNvXv3snjxYr788ktOnjxJp06dGDt2LK+++url/X6kQNhVqCbb3HfzpG0p4+zv0jJ5HH+bYWqoiL/wg4babDYee+wxZs+ezQsvvIBhGAB8+umnpKSk8PDDDzNy5EgKFy5M7969L/kc3seI5CW7CtXkd3dretiWMc7+Lnclj+OkGiriP/ygodn122+/0bJlS0aNGsX777/P8ePH6du3L3379mXWrFn89NNP9O/fnw8++IBGjRrx999/88MPPwAwefJk/vjjD6pVq8bLL78MQIkSJfjrr7+4++676dq1K3PnzmXnzp306NGDQoUKpZtYnTNnDgMHDuTHH39k/fr1dO3alcaNG3PnnXfm6nu8Uvqm62WKDg9hsvt+dnjKEG4kMNb+HlYDLWguIlfFo48+ytq1a9m3bx/79+/nf//7H4888kja/WfPnmXixInMnDmTli1bcsMNN9C1a1ceeeQRZsyYke65Xn75Ze68807Kly/PddddR+HChbHZbERERBAREUFQUBDffvstW7duZd68edSpU4cGDRrwwQcfsGbNGjZt2pT2XB6Ph9mzZ1OtWjVuu+02Hn30Ub777rtr9nsR/xQdHsJE9wPs8lxPCSOeV+3vq6Eikuu6devGvn370n1YOHPmTDp27EjRokX5448/uOGGG7DZ/vkeysSJEylcuHDaJT4+3gcjF8lYdHgIE9yd+MNz3fmGzlRDReSq+PLLL9M1sXDhwrRu3Trt/tdee40uXbowYMAAKlSoQKNGjXjzzTeZO3cu586d48CBA4SEhNCmTRvKli1L7dq16d+/P5D6RZ+AgACCg4PT9kOtVitTp06ldOnSvP3221SuXJn27dvz0ksvMWHCBDweT9pr16hRgxdffJEKFSrw2GOPUbdu3Ty5H6pvul6mSEcQL3W8mUGLerPI/jx3Wjfz/k07iYlrkHa/iORh9uDUT/t88bqXITw8nHvuuYc5c+Zgmib33HMP4eHhafdv376dc+fOXfTJXkpKSrolCADq1q2b5evt2LGD0qVLU7p06bTbqlatSpEiRdixYwf16tUDoFy5coSGhqZtExkZybFjxy7rPUrBkdrQOgxe1JuF9v/Q2rqJd6vtUUNF/IWfNLRy5co0atSImTNn0rx5c/bu3csPP/zAN998k7bNv7/N2q1bN9q2bcuPP/7II488gnmVDscUuVzehg5a1IeF9v9wt3UjhartVUNF/IWfNBSgefPmTJs2Ld1t3j4CbN68mT179vDRRx+l3W+aJh6Ph5iYGO68807Kli3LDTfcQKtWrWjVqhUdOnQgODjjsezYsYOGDRum63Pjxo05c+YMhw4dSjunSY0aNdI9Lq/uh2rS9Qp0rleGJhW7cmTNScr+PI66O8bT6tdiHKYkYzpWp3O9yz/BjYhcZYaR64dXXG3dunWjb9++AEyZMiXdfd5P/ZYuXcp1112X7r7AwMB0P4eEZP2+TdO85GGV/77dbrenu98wjHSfQIpkJLWh3YhddYIyWyZQb/sY7vqlKEeN4mqoSF7nRw3t3r07ffv2ZcqUKcyaNYuyZctyxx13AFChQgXWrl2L0+lM61mRIkUoUqQIhw4d8uWwRTL174bW3T6Glr8UUUNF/IEfNTQkJIQbb7wx3W0X9tHj8dCzZ8+0b69eqEyZMgQEBPDzzz+zevVqvvnmG1544QVGjhzJpk2bKFKkyCVf81L7od4PQP1xP1TLC1yhSEcQAbf1Z5OnEoWNc0ywTwfTo8XMRSTXtWrVipSUFFJSUmjZsmW6+6pWrUpgYCAHDhzgxhtvTHe58NuqlxIQEIDb7b7o+Q4cOMDBgwfTbtu+fTvx8fFUqVIl996UFGiRjiDsTZ/hZ8+NhBpJvG6fjqmGikgu6tSpE1arlXnz5jFnzhyeeOKJtJ22hx56iDNnzjB16lQfj1Ik5y5saJiRyGtqqIhcYzfffDO///77RfufN954IwEBAUDqGustWrRg/PjxbN26lX379rFy5Uog4/3QdevWpTvSZN26dYSGhl705SJ/oEnXXBDz9zkGOp/irBlIA8tOuluX4TZN9sUl+npoIpKPWK1WduzYwY4dO7BarenuCw0NZfDgwTzzzDPMmTOHvXv38ssvvzBlyhTmzJmT6fOWK1eOmJgYtmzZQlxcHMnJybRo0YIaNWrw8MMP8/PPP7Nx40Yee+wxmjZtmq3lCUSyK+bvZAY6e5FoBtLY+juPW79RQ0Uk1xQuXJjOnTszYsQIDh8+TNeuXdPua9iwIYMGDWLQoEEMHDiQtWvXsn//fjZs2MD777+PYRhYLNpdkrzrwobeqoaKyDU2dOhQ1q9fT58+fdiyZQu7d+9myZIl9OvXD0hdE/bNN99ky5Yt7N+/n7lz5+LxeKhUqRKQuh/6448/sm/fPuLi4vB4PPTu3ZuDBw/Sr18/du7cyeeff86LL77IwIED/bLJ/jfiPCg6PIS/KMUo16MADLZ9QhXLIS1mLiK5LiwsjLCwsEveN2rUKF544QXGjBlDlSpVaNmyJV988QXR0dGZPud9991Hq1ataN68OSVKlGD+/PkYhsHixYspWrQoTZo0oUWLFtxwww18/PHHV+NtSQEWHR7CASIZ7eoCwDDbfCpaDquhIpJrunfvzsmTJ2nRokXaWnBer7/+OvPmzeOXX36hTZs2VKhQgQceeACPx8P69eszbK5IXnCphlZQQ0XkGqlRowZr1qxh9+7d3HbbbdSuXZv//Oc/REZGAqlL9ixcuJDbb7+dKlWqMH36dObPn89NN90EwODBg7FarVStWpUSJUpw4MABrrvuOpYtW8bGjRupWbMmTz31FN27d+f555/35Vu9bIbph6vDJyQk4HA4iI+PzzP/EPp40wFGLPyNGbbXaGH9hbjCFdnd9nPKlSqqxcxFfOzcuXPExMQQHR1NoUKFfD0cyaHM/vzyYg/yurz4O/M2dKZtLE2tWzkWWpW9bRdSrmQRNVTEx9RQ/6aG5q68+DvzNnSWbQxNrL+poSJ5iBrq33Kjofqmay7pXK8Ma4fdTpHO00myFyH8zB/8PHcojceu5ONNB3w9PBERkTzL29DCnaZzzhZGydPb+XHOCDVUREQkC96GhnSaQbItlJKnt7Nh9nNqqIhIHpCjSdcxY8ZQr149QkNDKVmyJO3bt2fXrl3ptunatSuGYaS73HLLLem2SU5Opl+/foSHhxMSEkLbtm3zxRlCIx1BXFe6LIMSuwLwlPULavGHFjMXERE1NAuRjiCiytzAkKTHAOhrXUw19qqhIiKihmbhn4Y+DkA/2yJu4k81VETEx3I06bpmzRr69OnDhg0bWLFiBS6Xi7vuuouzZ8+m265Vq1bExsamXZYtW5bu/gEDBrBo0SIWLFjA2rVrOXPmDG3atLnorGX+KCbuLMvc9fnMfStWw2SifRqBZpIWMxcRKeDU0KzFxJ1libsRS9wNsRkeJtmnYjfPqaEiIgWcGpq1mLizfO5uxBfuW9IaajOT1VARER+y5WTj5cuXp/t51qxZlCxZks2bN9OkSZO02wMDA4mIiLjkc8THx/P+++/zwQcf0KJFCwA+/PBDSpcuzbfffkvLli1z+h7ylOjwECwGvOR8nFssOyhnOcpz9nmUC7/b10MTEREfUkOz5m3of5xPUN+yk/KWWIbZPqZceGtfD01ERHxIDc2at6HPO7tR37KTGy2HGWZbQLnwVr4emohIgXVFa7rGx8cDUKxYsXS3r169mpIlS1KxYkV69OjBsWPH0u7bvHkzTqeTu+66K+22qKgoqlWrxrp16y75OsnJySQkJKS75FWRjiDGdKzOWaMwzzp7AvCw9VsCY75j3d44Hd4h4kN+eN5AIf/+uamhF/M29IwRyhDnkwB0tS0nYP/3aqiIj+XXv4vzu/z656aGXix9Q1P3Q5+wLSfgwA9qqIiP5de/i/O73Phzy9E3Xf/94gMHDuTWW2+lWrVqabe3bt2aBx54gLJlyxITE8N//vMfbr/9djZv3kxgYCBHjhwhICCAokWLpnu+UqVKceTIkUu+1pgxY3jppZcud6jXXOd6ZWhSsQT74hpwdttxQn55F9eiPvROHkeCEcqYjtXpXK+Mr4cpUmDY7XYAEhMTCQrSWVz9TWJi6mFx3j/H/EANzVi6hv56hJCtc0j+7CmeSh7HGSNEDRW5xtRQ/6aGFuSGxhKydS7J/+2phor4iBrq33KjoZc96dq3b1+2bt3K2rVr093euXPntOvVqlWjbt26lC1blqVLl9KxY8cMn880TQzDuOR9w4cPZ+DAgWk/JyQkULp06csd+jUR6Qgi0hFEbJERxG5eyo2Ww7xin0lfZ39GLNxGk4oliHTofzqRa8FqtVKkSJG0bzsEBwdn+PeN5B2maZKYmMixY8coUqQIVqvV10PKNWpo5rwNPeJ4geNbllPOcpSR9jkMdPZWQ0WuMTXUP6mhaugRx4sc//VryhlHedE+h0FqqMg1p4b6p9xs6GVNuvbr148lS5bw/fffc/3112e6bWRkJGXLlmX37t0AREREkJKSwsmTJ9N9ynjs2DEaNWp0yecIDAwkMDDwcobqczGnPIxx9mZhwIu0sf7IN+51LPE0Zl9comIncg151/e68DAz8Q9FihTJcH02f6SGZt+f8fCaszf/DRhJR+taVrjr8JWngRoqco2pof5LDS3YDX09pRefBrzEfda1rHDXZbmnvhoqco2pof4rNxqao0lX0zTp168fixYtYvXq1URHR2f5mBMnTnDw4EEiIyMBqFOnDna7nRUrVtCpUycAYmNj2bZtG+PHj7+Mt5C3RYeH8Ds38JarAwPt/2WUfRY/JVfmxNlkYuOTFDyRa8QwDCIjIylZsiROp9PXw5Fsstvt+ebbOWpozkWHh/ArFZjqbkc/22Jetb/P5uRKaqjINaaG+ic1VA3dQkWmudvS1/Y5o+3v8XNyRTVU5BpTQ/1TbjU0R5Ouffr0Yd68eXz++eeEhoamrX3jcDgICgrizJkzjBw5kvvuu4/IyEj27dvHiBEjCA8Pp0OHDmnbdu/enUGDBlG8eHGKFSvG4MGDqV69etpZJPMT74LmLyx0c7vnZ2pZ/mS8fQaPziuKYVi0ro7INWa1WvPNDoj4FzU057wNfXGhm+aWLVSz7GOM/V26z3NgMQw1VOQaU0PFV9TQnPt3Q2+y7FdDRXxIDS2YDDMHp+PKaO2JWbNm0bVrV5KSkmjfvj2//PILp06dIjIykubNmzNq1Kh0a9+cO3eOZ599lnnz5pGUlMQdd9zB1KlTs70+TkJCAg6Hg/j4eMLCwrI7fJ+KjU9i528/c8uK9gQZKbzgfJy57pZYDYO1w5rrk0YRkcvgTz1QQy9fbHwSu7ZupOG39xFoOBnq7MHH7uZqqIjIFfCnHqihly82Pok/tv7ILd/eR6DhYoizB5+ooSIiVyS7PcjRpGte4Y+xA1i3N47lM1/mZfsckswA7kkZzZ9mFPN73ELD8sV9PTwREb/jrz3wJX/9na3bG8fKmS/wvP0jzpiFaJ0yhoNmKTVUROQy+WsPfMlff2fr9saxauZ/eM4+Tw0VEckF2e2B5RqOqcCLDg/hI8+d/OCuRpCRwkT7VAIMD+XCg309NBERkTwtOjyEWZ7WbPBUobBxjgn26dgNUw0VERHJQmpD7+ZHT2UKG+d43T5DDRURuQY06XoNRTqCGN2xJsNcTxFvBlPL8icfVVpLTNxZYuOTfD08ERGRPMvb0CHOXpw2g6hv2cUHVX5UQ0VERLIQ6Qji1fMNPWMWooFlJx9U3aiGiohcZTk6kZZcuc71ytCk4v0c2+TEsfYZasW8S8dd1/M7N2gxcxERkUykNrQTRzckEbp+KLX3TqXdjij+oIwaKiIikonUhnbm6PpECm8YTu09U2i7PZLdaqiIyFWjb7r6QKQjiMJ1H2SpuwF2w80k+1TsZgojFm7TJ40iIiKZiHQEEdLgMVa46xBouJhkn4rNdKqhIiIiWYh0BBF8S1e+dd98vqHT1FARkatIk64+EnMikeec3ThqFuFGy2GG2hbgNk32xSX6emgiIiJ5WsyJRIY7/484M4wqlgMMsH2mhoqIiGRDzIlEhjl7cMIMpaplP0+roSIiV40mXX0kOjyEBCOUoc4nAehmW86tlt+1mLmIiEgWosND+Ntw8JyzOwA9rV9Q3/KHGioiIpIFb0NHOP8PgKesX1DPslsNFRG5CjTp6iORjiDGdKzOD2ZtPnLdAcCMsPcxzsWzbm+cDu8QERHJgLeh35r1+a+7CVbDZGaR9zBSzqqhIiIimbiwoZ+5b1NDRUSuIsM0TdPXg8iphIQEHA4H8fHxhIWF+Xo4VyQ2PokDscep89W92OL3sdB9KwOdvbEYaEFzEZEs5KceXCv56XcWG5/EwcNHuHnZPdhO/8U89+2McP6fGioikg35qQfXSn76nXkbWmfZPVhP/8VH7jt4ztldDRURyYbs9kDfdPWxSEcQDSqX4VSrt3CbBh2ta2ll2YjHRAuai4iIZCLSEUT9KtHEt5wMQBfrSppZflFDRUREsuBt6Km7Uhv6sPU7mlm2qKEiIrlIk655xB8BVZnuvheA0fb3KMEpLWguIiKSDbuCavOeqzUA4+3vUpQENVRERCQbdgXX5v3zDR1nf4cinFZDRURyiSZd84jo8BDedN/Pdk9ZihlnGGt/F6uBFjQXERHJQnR4CBPcndntuY6Sxilesc9UQ0VERLIhOjyE192d2eOJopRxilfss9RQEZFcoknXPCLSEcTLHWszyNWHZNPGHdZfmFljBzFxZ3Voh4iISCYiHUGM7FiHwa7eOE0r91g38k6tP9VQERGRLPy7oW2sG5hRe58aKiKSC3QirTwmNj6J5DWTKffzGM6YhWidMoa/KKXFzEVELiE/9+Bqyc+/s9j4JJwrx1Hm10kkmMHclTyOY0ZxNVRE5BLycw+ulvz8O4uNT8K1ciylf32DeDOYlmqoiEiGdCItPxXpCCLwtr786KlMYeMcE+3TwPRoMXMREZEsRDqCsDcbxBZPecKMRF6zz8BUQ0VERLIU6QjC1nQQv3puwGEkMt7+Dh7TVENFRK6AJl3zoJi/zzHI+RRnzELUs/xBD+tSLWYuIiKSDTF/J/OMszdJZgC3WbfxqHWFGioiIpINMSdTeMbZm3OmnSbW33jE+q0aKiJyBTTpmgdFh4dwmJK85HoMgIG2T6lqOaDFzEVERLIQHR7CfiIZ7eoCwHDbfG60xKqhIiIiWYgOD2EfUYw539DnbB9R3nJEDRURuUyadM2DIh1BjOlYnYWeZqxw1yHQcPFB0ffZd/RvHdohIiKSCW9D53vu5Ht3dYKMFD4qPouYY/FqqIiISCa8Df3Icxc/uKsRZKQwL3ymGioicpk06ZpHda5XhrXDbqdo56kk2YtS/OxutswdSuOxK/l40wFfD09ERCTP6lyvDD8Mu4OQB6aTbAul1OltrJ/9nBoqIiKSBW9Dgx+YTrKtMKUStrFu9vNqqIjIZdCkax4W6QjiutJleSaxKwA9rV9yMzu1mLmIiEgWIh1BRJUtz9Ck1KV6+tsWUZU/1VAREZEspDb0Roadb+jTtoVUIUYNFRHJIU265nExcWdZ7q7Hf91NsBgmE+3TKGQmajFzERGRLMTEnWWxuxFfum/BbriZZJ+GzUxWQ0VERLIQE3eWRe7GLHXXP9/QqWqoiEgOadI1j4sOD8FiwEvOxzhkhlPGcpz/2D/SYuYiIiJZSG2owfPOJzhqFqGC5S+G2j5WQ0VERLLwT0O7ccwsQkXLXzxr+0QNFRHJAU265nHexcwTjRAGO58C4EHrSk5t+UKHdoiIiGTC29DTRhhDnU8C0M32FSe2fauGioiIZMLb0ATDwVBnDwC6277ixLbv1FARkWwyTNM0fT2InEpISMDhcBAfH09YWJivh3NNxMYnsS8ukZDV/6HGwY84bjpolTKOIR0b07leGV8PT0TEJwpiD65UQfydeRvq+O5Zqh7+jL/M4tydMo4RHRuooSJSYBXEHlypgvg7+6ehg6l6eCGHzHDuThnLc2qoiBRg2e2BvunqJyIdQZQLD6bTnjv5w3MdJYx4RtlmMmLhb/qkUUREJBNpDY25h32eUlxnnOA/trk6IYiIiEgW/mloG/Z7SnK9Ecfz1g/UUBGRbNCkqx+JiTvLOTOAZ5y9cZpW7rZupK3xgxYzFxERyUJM3FnOmIUY6OyF2zS43/o9LYyNaqiIiEgWvA0d5HwKj2nQybaG241NaqiISBY06epHvCfV+t2MZrKrIwAv22fjSDnCur1x+qRRREQkA96G/mxWZLr7XgBG298jzH1CDRUREcmEt6E/mZWZ4W4DwFj7e4S5/1ZDRUQyoUlXP+JdzNxqGExzt+VnTwVCjSROze/Bw++up/HYlXy86YCvhykiIpLnXNjQN1z3s91TluLGaWI/6EmXdzeooSIiIhm4sKGTXPezw1OG4kYCf6mhIiKZ0om0/JB3MfMiSfsp+2krgo1kXnI+yix3a6yGwdphzYl0BPl6mCIiV11B78HlKOi/M29Di535g3IL2xBouHjW+SSfupupoSJSoBT0HlyOgv47+6ehu4he2IYAw81gZ0/+626qhopIgaITaeVjkY4gGpYvzsmgMox2dQFgqG0B5Y2/cJum1tYRERHJgLehJwpXYILrAQBetM3leuOYGioiIpKJfxpakYnpGnpcDRURuQRNuvqx6PAQ5nlasMZdg0KGk0n2qQQabsqFB/t6aCIiInladHgIMz338KOnMoWNc0ywT8dumGqoiIhIFqLDQ3jP04ZNnoqEGkm8bp+OTQ0VEbmIJl39WOraOjUY7urJKTOEGpYYPqr0AzFxZ7WYuYiISCYiHUG82rEmQ5y9OGMWooFlJ3Or/qSGioiIZOGfhvbmrBnILZYdzK26WQ0VEfkXm68HIFemc70yNKl4H8c2uSiy9mlqxbzHfbuu5zduZEzH6nSuV8bXQxQREcmTUhvamaPrEym8YTg373mLe7dHsIfSaqiIiEgmUhv6IEfWJ1J+wwjq7HmLNtsj2Mv1aqiIyHn6pms+EOkIIrReZ75wN8RmeJhon0aAmcyIhdv0SaOIiEgmIh1BBN/Sle/ctQk0XEyyT8VqutRQERGRLKQ29AlWumsTeH65OzVUROQfmnTNJ2LizvK88wmOmEUpb4llqG2BFjMXERHJhpgTiQxz9uBvszA3WfbztO0zNVRERCQbYk4kMvR8Q6tZ9tHPtlANFRE5T5Ou+UR0eAinjcIMcT4JwBO2r2li+U2LmYuIiGQhOjyEE0YRRjj/D4Be1iXUtexWQ0VERLLgbehzzu4A9LF+Th3LHjVURARNuuYbqSfVqs7/zFrMdd0JwNTQ9znw12Ed2iEiIpIJb0NXmA34zH0rVsPkfcd77I89roaKiIhkwtvQb8xbWORurIaKiFxAk675SOd6ZVg7rDmVHpnEqaAyFE4+xuH5/Wg8diUfbzrg6+GJiIjkWd6Glu7yNqcDI3AkHWT3h8+ooSIiIlnwNvS6LlM4E1iSIkkH2PXhQDVURAq8HE26jhkzhnr16hEaGkrJkiVp3749u3btSreNaZqMHDmSqKgogoKCaNasGb///nu6bZKTk+nXrx/h4eGEhITQtm1bDh06dOXvRoh0BFEmMpxu8d1xmwYdrP+jlbFBi5mLiPiYGpr3RTqCKB0VQa/T3QB41PYttxm/qqEiIj6mhuZ9/zQ0dZmBx20raGxsVUNFpEDL0aTrmjVr6NOnDxs2bGDFihW4XC7uuusuzp49m7bN+PHjmThxIm+//TabNm0iIiKCO++8k9OnT6dtM2DAABYtWsSCBQtYu3YtZ86coU2bNrjd7tx7ZwVYTNxZfvZUYIq7HQCv2mdSzPxbi5mLiPiQGuofYuLOstZTjZmuVgCMt88g1ExQQ0VEfEgN9Q8xcWf5wVOdWa6WALxmn0Fh87QaKiIFlmGapnm5Dz5+/DglS5ZkzZo1NGnSBNM0iYqKYsCAAQwdOhRI/TSxVKlSjBs3jp49exIfH0+JEiX44IMP6Ny5MwCHDx+mdOnSLFu2jJYtW2b5ugkJCTgcDuLj4wkLC7vc4edbsfFJNB67EqvpYlHAC1Sz7GO1uxaVBn1FZBEtaC4i+Yc/90ANzZu8DbWbKXwZ8BwVLH/xlbs+tQZ9roaKSL7izz1QQ/Mmb0MDzGS+DHiOGy2HWeq+hZsHLVJDRSRfyW4PrmhN1/j4eACKFSsGQExMDEeOHOGuu+5K2yYwMJCmTZuybt06ADZv3ozT6Uy3TVRUFNWqVUvb5t+Sk5NJSEhId5GMeRcz9xh2Bjh7k2zaaWbdQuSeBb4emoiInKeG5k3ehrqMQAY4e+M0rbS2biRy/xJfD01ERM5TQ/Mmb0OdRiGeOd/Qe6wbiDyw1NdDExHxCdvlPtA0TQYOHMitt95KtWrVADhy5AgApUqVSrdtqVKl2L9/f9o2AQEBFC1a9KJtvI//tzFjxvDSSy9d7lALpM71ytCkYgn2xSWSfCCJwDUvwtfPQXRTKF7e18MTESnQ1NC87Z+GNiDpzzPY/zcGlj0LZRtBkTK+Hp6ISIGmhuZtFzb03N7T2NeNg6WDoGxDcFzv6+GJiFxTl/1N1759+7J161bmz59/0X2GYaT72TTNi277t8y2GT58OPHx8WmXgwcPXu6wC5RIRxANyxcnrGl/KHcbOBNhcS/waM0iERFfUkPzvrSG3j4YSjeA5ARY1As8Hl8PTUSkQFND8z5vQ0PvGALX14Pk+PP7oWqoiBQslzXp2q9fP5YsWcKqVau4/vp/Pq2KiIgAuOiTwmPHjqV96hgREUFKSgonT57McJt/CwwMJCwsLN1FcsBigfZTISAUDv4I/3vD1yMSESmw1FA/Y7VBh+lgD4H9a2HDFF+PSESkwFJD/YzVBh1mgD0YYr6HH6f7ekQiItdUjiZdTdOkb9++LFy4kJUrVxIdHZ3u/ujoaCIiIlixYkXabSkpKaxZs4ZGjRoBUKdOHex2e7ptYmNj2bZtW9o2chUUKQOtx6VeXzUGYrf6djwiIgWMGurHit0ArcakXv/uZTj6u2/HIyJSwKihfqx4eWj5aur1b0fCsR0+HY6IyLWUozVd+/Tpw7x58/j8888JDQ1N+yTR4XAQFBSEYRgMGDCA0aNHU6FCBSpUqMDo0aMJDg6mS5cuadt2796dQYMGUbx4cYoVK8bgwYOpXr06LVq0yP13KP+o1QV2LYOdX8KintBjFdgL+XpUIiIFghrq525+DHZ9BX98BQufhB4rwRbo61GJiBQIaqifq/NEakN3fwMLe8D/rQRbgK9HJSJy1eVo0nXatGkANGvWLN3ts2bNomvXrgAMGTKEpKQkevfuzcmTJ2nQoAHffPMNoaGhadtPmjQJm81Gp06dSEpK4o477mD27NlYrdYrezeSOcOAeyenLjFwbDusegXuesXXoxIRKRDUUD9nGND2TZjaEI5ug1Wvwp0v+3pUIiIFghrq5wwD2r4NU2+BI7/B6jHQ4kVfj0pE5KozTNM0fT2InEpISMDhcBAfH691dS7HzmWw4CHAgK5LoVxjX49IROSyqAc5p9/ZFdq5FBZ0QQ0VEX+nHuScfmdXaPsS+ORRMCzQdRmUbejrEYmIXJbs9uCyTqQlfq7y3VD7EcCExU/BuQRfj0hERMQ/VL4Haj8KmLBIDRUREcm2qm2h1sNgelKXu0s+7esRiYhcVZp0Lahajkk9udapA/D1cF+PRkRExH+0GgNFykL8AVg+zNejERER8R+txoKjDJzaD8u1Hyoi+ZsmXQuqQmHQfjpgwC8fpi45ICIiIlkLDIWO76QeHrnlo9TDJUVERCRrhcKgg3c/9IPUZXtERPIpTboWZOUaQ6O+qde/6A9n43w7HhEREX9R5hZoPCD1+hdPw+mjPh2OiIiI3yjXGBr3T72+pD+cOebb8YiIXCWadC3omj8PJavC2eOpO43+d141ERER32g2HCJqQNLf8HkfNVRERCS7mj8HpapBYlzqxKsaKiL5kCZdCzp7IegwAyx22Pkl/Drf1yMSERHxD7YA6PguWANhzwr4aaavRyQiIuIfbIGpS/VYA+CPr+Dnub4ekYhIrtOkq0BkDWh+fhHzZUNST64lIiIiWStZGe58KfX6N89D3B7fjkdERMRflLoJ7ngh9fry4fD3n74dj4hILtOkq6Rq9DRcXx9STsPi3uDx+HpEIiIi/qF+T4huCs5EWPQkuF2+HpGIiIh/uKUPlLsNnGdhYU81VETyFU26SiqrLfUskvYQ2PcD/DjN1yMSERHxDxYLtJ8GhRzw12b4YYKvRyQiIuIfLBZoPxUCw+DQRvjfG74ekYhIrtGkq/yjeHlo+Urq9W9fgmM7fDseERERf+G4Du6ZmHp9zbjUyVcRERHJWpEycPdrqddXj4HDW3w6HBGR3KJJV0mvzhNw453gToaFT4IrxdcjEhER8Q/V74dq94HpTm1oSqKvRyQiIuIfanSGqu3A40ptqDPJ1yMSEblimnSV9AwD2r0NQUXhyFb4fryvRyQiIuI/7n4dQqPgxB5Y8YKvRyMiIuIfDAPavAGFIyBuV+qRlyIifk6TrnKx0AhoMyn1+g8T4OAm345HRETEXwQXg/ZTUq9vehd2f+vb8YiIiPiL4GLQ7nxDf5wGe1f5djwiIldIk65yaTd1gOoPgOmBRT0h5ayvRyQiIuIfyt8ODZ5Kvf55H0j827fjERER8RcVWkC9/0u9vrg3JJ307XhERK6AJl0lY3e/lnqI5N97dYikiIhITrQYCeEV4cwR+HIAmKavRyQiIuIf7nwZit8Ipw/D0sG+Ho2IyGXTpKtkLKjoBYdIvgd7dIikiIhIttiDoOM7YLHB9s9h6ye+HpGIiIh/CAiBDu+AYYVt/4Xf/uvrEYmIXBZNukrmyt8O9Z9Mvf55Xx0iKSIikl1RtaHZsNTrywbDqYO+HY+IiIi/uL4ONB2Sen3pQIj/y7fjERG5DJp0lay1eOn84R2xqTuNIiIikj2Nn4Hr60NyAizuBR6Pr0ckIiLiH24bBFE3w7n41DXS1VAR8TOadJWsBQRfcHjHZzq8Q0REJLusNugwHewhsO8H2DDV1yMSERHxD1Z76lI9tiD4cxVsetfXIxIRyRFNukr2XF8Hmpz/luvSQZBw2LfjERER8RfFy0Or0anXv3sJjv7u2/GIiIj4i/AKcNeo1OsrXoDju3w7HhGRHNCkq2Rfk2chshacO5W6vqvOxCwiIpI9Nz8OFVuBOwUWPgmuZF+PSERExD/U+z8ofwe4zsHCHuBK8fWIRESyRZOukn1ph3cUgr3fwU/v+3pEIiIi/sEwoO1bEBwOR7fBqld9PSIRERH/YBjQbgoEFYXYX+H78b4ekYhItmjSVXKmRCVoMTL1+jf/gRN7fTocERERv1G4JLR9M/X6/96Eff/z7XhERET8RVgktHkj9foPE+DgRp8OR0QkOzTpKjlXvydENwFnYuohkm6Xr0ckIiLiHyrfA7UfBUxY9BScS/D1iERERPzDTe2hxoNgelL3Q5PP+HpEIiKZ0qSr5JzFAu2mQmAY/PUT/G+Sr0ckIiLiP1qNgSJlIf4ALB/m69GIiIj4j7vHg6M0nIyBb57z9WhERDKlSVe5PEVKw92vpV5fPRYOb/HpcERERPxGYGjqGumGBbZ8BNuX+HpEIiIi/qGQA9pPAwzYPBt2Lff1iEREMqRJV7l8NTpDlbbgccGinuA85+sRiYiI+Icyt0DjAanXv3gaTh/16XBERET8RvRt0LBP6vUlfeFsnG/HIyKSAU26yuUzjNTFzENKwvGdsHKUr0ckIiLiP5oNh4jqkPR36k6jafp6RCIiIv7h9v9Ayapw9njqh5dqqIjkQZp0lSsTUhzavpV6ff0UiPnBt+MRERHxF7YA6PguWANh9zeweZavRyQiIuIf7IVSl+qx2GHnl6nL9YiI5DGadJUrV6kV3PwYYMLiXnAu3tcjEhER8Q8lq0CLkanXv34OTuz16XBERET8RkR1uP351OtfDYWT+3w6HBGRf9Okq+SOlqPPn4n5ICwf7uvRiIiI+I8GT0F0E3AmwsInwe3y9YhERET8Q6N+UKYRpJyBRU+Bx+3rEYmIpNGkq+SOwFDoMAMwUg/t2PGlr0ckIiLiHyyW1DMxBzrgr59g7URfj0hERMQ/WKzQYToEhMKB9bDuTV+PSEQkjSZdJfeUbQiN+6de/+JpOHPct+MRERHxF47r4Z4JqddXj4W/Nvt2PCIiIv6iaFloPS71+spXIXarb8cjInKeJl0ldzV/DkpVg8Q4+KK/ziIpIiKSXdXvh5s6gumGhT0hJdHXIxIREfEPtbpA5TbgcaYu1eM85+sRiYho0lVymS0wdZkBix12LYNfPvT1iERERPyDYaR+2zU0Ek7shhUv+HpEIiIi/sEw4N7JEFISju+AlaN8PSIREU26ylUQUQ1ufy71+vJhHDuwk3V744iNT/LtuERERPK64GLQfmrq9U3v8vevS9VQERGR7AgJh3Zvp15f/zYnfluhhoqIT2nSVa6ORv2hTENIOUPMe4/zyLvraTx2JR9vOuDrkYmIiORt5W+H+j0BcC7sTe93v1VDRUREsqNiS6jzBADJ/+3JU++uVENFxGc06SpXh8XKsTve4KwZSAPLTrpbl+ExYcTCbfqkUUREJAux9YeyxxNFKeMUr9rfx2OaaqiIiEg2HLnlefZ5ShFlnGCkfY72Q0XEZ3I86fr9999z7733EhUVhWEYLF68ON39Xbt2xTCMdJdbbrkl3TbJycn069eP8PBwQkJCaNu2LYcOHbqiNyJ5zx5XOKNcjwIw2PYJlY0DuE2TfXE6MYiIFExqqGRXTLzJM87eOE0r91g30t7yPzVURAo0NVSy688EeMbZG7dp0NG6lnssG9RQEfGJHE+6nj17lpo1a/L2229nuE2rVq2IjY1Nuyxbtizd/QMGDGDRokUsWLCAtWvXcubMGdq0aYPb7c75O5A8Kzo8hE88zVnhvplAw8Ub9ikEGU7KhQf7emgiIj6hhkp2RYeH8Ds3MNnVEYCX7bO43jihhopIgaWGSnZFh4fwKxWY4m4HwKv294kyTqqhInLN2XL6gNatW9O6detMtwkMDCQiIuKS98XHx/P+++/zwQcf0KJFCwA+/PBDSpcuzbfffkvLli1zOiTJoyIdQYzpWIPnFj5JLcsQKlsOsuDGFcTE3Zp2v4hIQaKGSnalNrQ6/1nooblnC3Usu/m41BxijrdKu19EpCBRQyW7vA19YaGbZpZfqWGJ4eOID4g53jLtfhGRa+GqrOm6evVqSpYsScWKFenRowfHjh1Lu2/z5s04nU7uuuuutNuioqKoVq0a69atu+TzJScnk5CQkO4i/qFzvTJ8Pqw9cbdPAKDmwQ956/2ZWsxcRCQDaqh4da5XhjXDWmDpMAOnNYjrTv3Ed7NGqqEiIhlQQ8Wrc70yrB52J572M3BZAil9cgNfzXpFDRWRayrXJ11bt27NRx99xMqVK5kwYQKbNm3i9ttvJzk5GYAjR44QEBBA0aJF0z2uVKlSHDly5JLPOWbMGBwOR9qldOnSuT1suYoiHUEUqXUv89y3AzDBPo3C5hktZi4i8i9qqPxbpCOIiBuq8sK5hwEYYvuYGzmohoqI/IsaKv8W6QiiVPkavJL8IAAjbPOI5i81VESumVyfdO3cuTP33HMP1apV49577+Wrr77ijz/+YOnSpZk+zjRNDMO45H3Dhw8nPj4+7XLw4MHcHrZcZTFxZ3nF+QgxnlJEGX8zyj5bi5mLiPyLGiqXEhN3lvnu5nzrrn1+jfSpWM0UNVRE5AJqqFxKTNxZ5rjv5Ht3dYKMFCbap2GYTjVURK6Jq7K8wIUiIyMpW7Ysu3fvBiAiIoKUlBROnjyZbrtjx45RqlSpSz5HYGAgYWFh6S7iX6LDQzhnFOIZZx9cpoV21nW0t67TYuYiIplQQwVSG2oxDIY5n+SEGUpVy34G2j5TQ0VEMqGGCqQ21DAsPOvsySkzhJqWP+lvW6yGisg1cdUnXU+cOMHBgweJjIwEoE6dOtjtdlasWJG2TWxsLNu2baNRo0ZXezjiI97FzH+jAm+5OgAwLmg2f+3frUM7REQyoIYK/NPQk0YRhjv/D4Ceti+I+321GioikgE1VOCfhsYZxXne2Q2AvvbPOb5jrRoqIledLacPOHPmDHv27En7OSYmhi1btlCsWDGKFSvGyJEjue+++4iMjGTfvn2MGDGC8PBwOnRInWhzOBx0796dQYMGUbx4cYoVK8bgwYOpXr162lkkJX/qXK8MTSqWYN+xOhz9YhelEraR8mlPbnWNYHTHmnSuV8bXQxQRuarUULlcaQ2Na8DOb/+kcuznFFnej5ZfjOG5jg3UUBHJ99RQuVwXNnT3N3uocPQrQpf1ocXnY3ihYz01VESumhxPuv700080b9487eeBAwcC8PjjjzNt2jR+++035s6dy6lTp4iMjKR58+Z8/PHHhIaGpj1m0qRJ2Gw2OnXqRFJSEnfccQezZ8/GarXmwluSvCzSEQTAQ3FP8KV9BI2s23nC8xUjFlppUrFE2v0iIvmRGipXwtvIu/a1Zal9HWUsx3ne+gHDF4aooSKS76mhciW8jWx9oAPLAn4k2nKUYdZ5jFgYpIaKyFVjmKZp+noQOZWQkIDD4SA+Pl7r6vihdXvj6PLujzxk/Y4x9vdJNm20S3mFF/+vEw3LF/f18ETEj6gHOaffmX/zNrSusZNPAkZhMUx6pgyga/f+aqiI5Ih6kHP6nfk3b0MbWbYxL2A0AF1ThtCz+1NqqIjkSHZ7cNXXdBX5t9QTgsB89+2scN9MoOFisn0K5YroP0cREZHMeBv6k1mZ6e57ARhjf48bgs74eGQiIiJ5m7eh6zzVeN/VGoDx9neIDtHariJydWiWS64572LmVsPCMGcP4swwKlkOEvq/MazbG6cFzUVERDLwT0MNJrnuZ7unLMWMMzhWPMO6PcfVUBERkQxc2NDxrs784bmOksYpHN8OUUNF5KrI8ZquIrnhn8XME7EkhMDnj1H45xm8tSGcH82bGNOxuhY0FxERuYQLG1qC2bg/akmhmO9Y+sdo5ntaqKEiIiIZuLChRT2zcc9rTdCepXy2vTSLzCZqqIjkKn3TVXwm0hFEw/LFSb7hLua5bwdggn0ahc0zjFi4TZ80ioiIZMDbUFd4FcakdALgeduHRPOXGioiIpKJtIaWrM5E530AvGSfzfUcVUNFJFdp0lV8LibuLKOcj/CnJ4Io429G2WfjNk32xSX6emgiIiJ5WkzcWd53teIHdzWCjBTesE/BYjrVUBERkSzExJ1lmuteNnoqUdg4xxv2KWC61FARyTWadBWfiw4PIdkoxDPO3rhMC+2s62hv+R8nzibrU0YREZFMRIeHYBgWBjl7cdIsTHXLPgbZPlVDRUREshAdHgKGhWdSepNgBnGzZQ/9bYvUUBHJNZp0FZ/zLmi+jQq85eoAwMv2WYyet4LGY1fy8aYDPh6hiIhI3uRt6AmjGMOcPQB40volHy34UA0VERHJhLehR4ySPO/sDkBf6yJmzv9YDRWRXKFJV8kTOtcrw9phzal4/0h+8dxImJHI6/bpmKZH6+qIiIhkwtvQezs/yXx3cyyGyUT7NEK1RrqIiEimvA29q3MfFrlvxWqYTLZPIdhMVENF5Ipp0lXyjEhHEEXDgnnG2YtEM5BG1u10t36l9V1FRESyEOkIoljhAF52PspeTySRxt+Mtr+H2/SooSIiIpnwNvQFZ1cOekpQ2nKcl3SeERHJBZp0lTwlOjyEA0TysutRAJ61fUxVywHKhQf7eGQiIiJ5m3eN9AHOPjhNK/dYN9LJ+oMaKiIikoXo8BDOGsEMcPbGbRrcZ11Le+s6NVRErogmXSVP8a6r86nndla46xBouPig6HvsO/q3Du0QERHJhLeh2ynPJNf9ALxSaC6xf/6uhoqIiGTC29AtVOZtd+p5RsYFzebwvj/UUBG5bJp0lTwndV2d2ynSeRqJ9mIUP7uHbXMHazFzERGRLHjXprut6yscLnIzAe5EjEU9aTr2GzVUREQkE96G1n98LEfDqhPoOoPrsye5bey3aqiIXBZNukqeFOkI4vrSZeif2A2AHrZl3GJs02LmIiIiWYh0BFGuZCidjnYlwQymtmUPfayL1FAREZEspDY0jM7Hu3HGLEQDy06etCxRQ0XksmjSVfKsmLizfOu+mY9cdwCcPxNzghYzFxERyUJM3FkOmeGMcHYHoK91MbXZoYaKiIhkISbuLPvMUrzo7ArAM7bPqMZuNVREckyTrpJnRYeHYDHgFdfD7PVEEmGcZJz9PcoVD/L10ERERPI0b0O/9DTkM/dtWA2TNwKmEh3q8vXQRERE8jRvQz/z3MaX7luwG24m26cSHWb6emgi4mc06Sp5lncx8xQjiP7OvqSYVlpaNxG0bR7r9sbp8A4REZEMeBtqNQxedD7OAbMk1xtxOFYOV0NFREQy8U9DLYxwdiPWLEY5yxHC1vxHDRWRHLH5egAimelcrwxNKpZgX1wDzu07R8APowhYMYLnUmCfGcnY+6rTuV4ZXw9TREQkz/mnoYkEp8zE80k7gnZ+xsdbS7HEc6saKiIikoELGxqQ9C7mf+8neNs85v5ckq899dVQEckWfdNV8rxIRxANyxfnbJ1e/M99E8FGMpPtb2PDxdDPftMnjSIiIhnwNtQZVZfJKe0BGGWfxXXGcTVUREQkE96GppRuzDTXvQCMtb9LKU6ooSKSLZp0Fb/x0/5TDHT24qRZmBqWGAbaPgVg3Fc7fTwyERGRvO2nfX/ztrs9mz0VCDOSmGSfghW3GioiIpKFn/b9zSTX/Wz1RFPEOMsE+3QMPGqoiGRJk67iNwzD4CjFGObsAUBP65c0tPzO4i2HmfH9Xh+PTkREJO8yDAM3VgY4e3PaDKKe5Q96WZeooSIiIlkwDAMnNgY4+5BoBtLY+jv/Z12mhopIljTpKn6jTtmiAHztqcc8V3MshslE+zQcnGHMsp38evCkj0coIiKSN3kbetAsxQvOrgAMsH1GLWOPGioiIpIJb0P/NKN42fUoAM/aPuYmY58aKiKZ0qSr+I1IRxDDW1cGYJTrUfZ6Iok0/maM/T3ApN2UdXy86YBvBykiIpIHXdjQRZ5bWeJuiM3w8IZ9CiEkqaEiIiIZuLChC9zN+dpdlwDDzWT72xQiWQ0VkQxp0lX8Ss+m5WlXK4okCvG0sw9O08rd1o08YF0DoAXNRUREMuBtKBg87+zGITOccpajvGibC6ihIiIiGbmwocOc/8dRswg3Wg7znO0jQA0VkUvTpKv4nWHnP2XcZt7ABNcDAIy0zaGcEQvoxFoiIiIZ8TY0gRAGpvTCYxp0sq3hbssGQA0VERHJiLehJwljkLMXAI/avuUOy2ZADRWRi2nSVfzOhYd3zHC3YZ27KiFGMpPtU7Dh0oLmIiIiGbiwoRvNKkx1twVgjP09IjmhhoqIiGTgwoau9VTnXdfdAIy3v0MJTqmhInIRTbqKX+rZtDx9mpfHxMJAZy9OmSHUtPzJM7b/AjBm2U4d3iEiInIJ3oYCvOG6j189N+AwEplon4YFjxoqIiKSgQsb+pqrMzs8ZShunOZ1+3QMNVRE/kWTruK3nm1ZmT7Ny3OE4gxz9gCgl/ULbrFsB3R4h4iISEa8DXVhY4CzD4lmIA2t2+lp/RJQQ0VERDLibWgKdvo7+3LOtNPUupVu1uWAGioi/9Ckq/i1Z1tWpl2tKJZ76rPA1QyLYTLRPpUwzujwDhERkUx4GxpjRjLS9RgAA22fUsvYo4aKiIhkwtvQ3eb1vOJ6BIChtvncZMSooSKSRpOu4ve8C5q/7HqMPz0RRBl/M9r+PmDq8A4REZFMeBv6ibsZX7pvwW64edP+FqEkqqEiIiKZ8Db0Q3cLvnHXIcBw86b9bYI5p4aKCKBJV8kHvAuaJ1KIAc4+OE0rbaw/cr/1e0CHd4iIiGTkn5OCGIxwduegpwRlLMd59fyHl2qoiIjIpV3Y0CHOJ4k1i1HeEstLttmA9kNFRJOukk/0bFqedrWi2GqWZ6LrAQBess2mrHFEh3eIiIhkwtvQBEJ42tkHl2mhrXU991u/V0NFREQy4W3oKUIZkNIHj2nwgO172lr+p4aKiCZdJf/wHt4xw92GDZ4qhBjJTLa/jQ2XDu8QERHJhLehP5sVmei6H0j98PIG47AaKiIikglvQ380q/CWuz0Ar9pnUto4qoaKFHCadJV8w3t4hwcLz6T05pQZQi3LnwywfQbAyM9/9/EIRURE8qZ/DpGE6e62rHNXJcRI5k372wTgVENFREQycGFD33R1ZJOnIqFGEm+d/wKQGipScGnSVfIV7+EdsRRnhLM7AL2tS2ho+Z2vtx/lidkbfTxCERGRvMnbUA8WnnH25m+zMNUs+xhiW6CGioiIZMLbUDdWBqT0Id4MppZlLwNt/1VDRQowTbpKvuM9vGOZ5xYWuJphMUwm2adSjARW7TzOyM+3+XiEIiIieZO3oUcpxrPOngD8n+0rmll+UUNFREQy4W3oX5RgmLMHAE9Zv6Cx5Tc1VKSA0qSr5DsXHt7xkusxdnuuI8I4yWv2GYDJ7PX7taC5iIjIJVzY0O88dZjlagnA6/YZlOCkGioiIpKBCxv6lacB81y3n/8C0DSKkaCGihRAmnSVfKln0/I83rAsSRSir7MfyaadO6y/0M26HEALmouIiGTA21CAsa6H2OEpQ7iRwET7NAw8aqiIiEgGLmzoy65H2e25jpLGKV63TwdMNVSkgNGkq+RbL7WrRvPKJdhllmGU6xEAhtnmUc34E4BxX+305fBERETyLG9Dkwmgr7MfSWYAt1m38aR1KaCGioiIZMTb0HMEpn0B6HbrlrQvAKmhIgVHjiddv//+e+69916ioqIwDIPFixenu980TUaOHElUVBRBQUE0a9aM339Pf7a+5ORk+vXrR3h4OCEhIbRt25ZDhw5d0RsRuZRZXevTsmopPnS3YLm7HgGGm7fsbxFCEou3HNbhHSJyTamh4k+8Dd1rXsdI1+MADLZ9Qk1jjxoqItecGir+xNvQf38B6CYjRg0VKUByPOl69uxZatasydtvv33J+8ePH8/EiRN5++232bRpExEREdx5552cPn06bZsBAwawaNEiFixYwNq1azlz5gxt2rTB7XZf/jsRycDIdjcBBkOcPThkhhNtOcoo+yxAywyIyLWlhoq/SW0ofOxuxpfuBtgNN2/a36YwiWqoiFxTaqj4G29DP3S34Bt3HQLONzSYc2qoSAFhmKZpXvaDDYNFixbRvn17IPXTxaioKAYMGMDQoUOB1E8TS5Uqxbhx4+jZsyfx8fGUKFGCDz74gM6dOwNw+PBhSpcuzbJly2jZsuVFr5OcnExycnLazwkJCZQuXZr4+HjCwsIud/hSgMxYs5cxX+2kjrGLjwNGYTM8DEx5ioWeJrSvFcUbD9b29RBF5DIkJCTgcDj8sgdqqPgLb0PDOMuywOFcb8TxubsRTzv70L7WdWqoiJ9SQ9VQufq8DS3Cab4KHE6k8TefuJoyxNVT+6Eifiy7Dc3VNV1jYmI4cuQId911V9ptgYGBNG3alHXr1gGwefNmnE5num2ioqKoVq1a2jb/NmbMGBwOR9qldOnSuTlsKQB6Ni1Pu1pRbDYrMcl1PwCj7LOINmJ1eIeI5AlqqORV3oYmEEL/lL64TAvtrOu4z/KDGioieYIaKnmVt6GnCGVASh88pkEn2xraWtapoSIFQK5Ouh45cgSAUqVKpbu9VKlSafcdOXKEgIAAihYtmuE2/zZ8+HDi4+PTLgcPHszNYUsBMax1ZQCmuduyzl2VECOZt+1vEoCTMct28uvBkz4eoYgUZGqo5GXehv5sVuQN130AvHz+w0s1VER8TQ2VvMzb0B/NKrzlbg/Aq/b3KWMcVUNF8rlcnXT1Mgwj3c+maV50279ltk1gYCBhYWHpLiI5FekIYnjryniwMMDZhxNmKDdZ9jPcNg+AdlPW8fGmAz4epYgUdGqo5EXehgJMdbdjg6cKIUYyb9nfIgCnGioieYIaKnnRhQ1909WRTZ6KhBpJaV8AUkNF8q9cnXSNiIgAuOiTwmPHjqV96hgREUFKSgonT57McBuRq8V7eMcxijLI+RQAT9i+poVlMwBDP/tNC5qLiE+ooZLXeRvqwcKAlN78bRammmUfI2wfAWqoiPiOGip5nbehbqz0T+nHSbMwNSwxaV8AUkNF8qdcnXSNjo4mIiKCFStWpN2WkpLCmjVraNSoEQB16tTBbren2yY2NpZt27albSNyNXkP71jtqc27rrsBeM0+gwhOADDuq50+G5uIFFxqqPgDb0OPUJxBzl4AdLV9QyvLRkANFRHfUEPFH3gbGkvxdF8AamnZBKihIvlRjiddz5w5w5YtW9iyZQuQumj5li1bOHDgAIZhMGDAAEaPHs2iRYvYtm0bXbt2JTg4mC5dugDgcDjo3r07gwYN4rvvvuOXX37hkUceoXr16rRo0SJX35zIpVx4eMd414Ns9URT1DjD5IApWPBoQXMRuWrUUPF3FzZ0lac2011tABhvf4fSxlE1VESuGjVU/N2FDV3puZl3XPcAMN4+g+uN42qoSD5ky+kDfvrpJ5o3b57288CBAwF4/PHHmT17NkOGDCEpKYnevXtz8uRJGjRowDfffENoaGjaYyZNmoTNZqNTp04kJSVxxx13MHv2bKxWay68JZGs9WxanoRzTqas2ks/Zz+WBoyggWUnT9sWMsl1P2OW7aRtzSgiHUG+HqqI5CNqqOQHFzb0dVcn6ll2Uceym7fsb/FAykg1VESuCjVU8oMLGzre1Zm6ll3cbNnD2/Y3eSDlRTVUJJ8xTNM0fT2InEpISMDhcBAfH6/FzOWKvPb1Tqas2ktby/94M2AKHtPgUecw/uepTvtaUbzxYG1fD1FEMqEe5Jx+Z5JbvA2NIo5lgcMpYpzlfVdrRrkeVUNF/IB6kHP6nUlu8Tb0Oo6zNHAERYyzvOu6m1ddj6ihIn4guz3I1TVdRfzNsy0r065WFEs8jZnvao7FMHnDPoUSnGTxlsO89rXW1REREbkUb0MPE87g82vTdbd9xZ2Wn9RQERGRTHgb+hcleNbZE4AetmXcYdmshorkI5p0lQLPu6D5SNfj7PCUoYSRwFsBb2PFzZRVexU8ERGRDHgb+q2nDu+5WgPwun0613FcDRUREcmEt6ErPHV5/3xDJ9inE0WcGiqST2jSVQo874LmyQTQ2/k0Z8xC3GLZwQDbZwBMWbVXC5qLiIhcwoUnBRnneogtnvI4jETeCngLGy41VEREJAMXNnSs6yG2eG6giHFWDRXJRzTpKkLqgubtakURY0YyzNkDgH62xTS1/ArAmGU7iY1P8uUQRURE8iRvQ53Y6OvsR4IZzM2WPTxr+xhQQ0VERDKSvqH9STCDqWPZzWDbJ4AaKuLvNOkqcp738I4vPQ35wNUCgEn2KURwAoBxX+nwDhERkUvxNvSQWTJtbbqetqU0t/wCqKEiIiIZSd/QJwF4yvalGiqSD2jSVeS8SEcQ4+6rDsArrkfY5ilHMeNM2uEdi7cc1uEdIiIil3BhQ7/21GOWqyUAE+3TiOSEGioiIpKB9A2tz2zXXQBMsE8jQg0V8WuadBW5QOd6Zfi8T6O09V0TzCDqWf5gsO1TQId3iIiIZMTbUIAxri5s9URT1DjDm+c/vFRDRURELu3Cho52Pcxv578A9Ob5EzyroSL+SZOuIv9Ss3RRhreuzAGzFEPOHyL5lO0Lbrf8DMDIz3/35fBERETyLG9DU7DTx9k/7cPLgbb/AmqoiIhIRtI3NPULQPUtuxh0/gtAaqiI/9Gkq8gleBc0X+6pn3aI5AT7dKKI4+vtR3li9kYfj1BERCRv8jb0oFmKoefXputtW0IzyxY1VEREJBPehh4wS6Wd4Lm3bQm3W35WQ0X8kCZdRTLgXdB8jKsLWzw3UNQ4w9sBb2LHxaqdxxn5+TYfj1BERCRv8jb0K08D5rruBGCSfSrXcVwNFRERyYS3ocs8t6St7zrJPpXrjWNqqIif0aSrSAYiHUFph3f0dfYn3gzmZsseRtg+AmD2+v1a0FxEROQSvA2F1JNT/nr+w8spAZMJwKmGioiIZODChr7qeoRfPDfiMBKZZn+DQFLUUBE/oklXkUz0bFqexxuW5ZBZkoHOXgA8Yfuadpa1gE6sJSIikhFvQ71r050yQ6hl+ZPnbR8CaqiIiEhGvA11YqNPSn/+NgtT3bKPF21zATVUxF9o0lUkCy+1q0bzyiX4zlOHN13tARhjf59KxgEAxn2104ejExERybu8DT1klmCAszcAj9lW0NbyP0ANFRERyYi3oYcJ52lnXzymQRfbSjpavgfUUBF/oElXkWyY1bU+LauW4g3X/Xzvrk6wkcx0+yRCSWTxlsO89rWCJyIicinehq721E778HKs/T0qGIfUUBERkUx4G/qDpwaTXR0BeNU+k0rGATVUxA9o0lUkm0a2uwkPFp529uGQGU605SgT7NMw8DBl1V4FT0REJAMj290EwBuu+/nBXS3tw8sQktRQERGRTHgb+qa7A2vcNQgyUphmf4NQEtVQkTxOk64i2eRd0PwkYfRKGUCyaeMu62Z6Wb8AYMqqvVrQXERE5BK8DU398LIvsWYxyltiGWd/FzDVUBERkQx4G2piYYCzN3+ZxbnBcoTx9hmooSJ5myZdRXKgZ9PytKsVxW/mDbzgegKAQbZPaGz5DdCC5iIiIhnxNvRvwuiT0h+naaWNdQNdrV8DaqiIiEhGvA09SRi9U54mxbTS2rqJ7tZlgBoqkldp0lUkh4a1rgzAx+7mLHA1w2qYvGl/myjiAC1oLiIikhFvQ382KzLa1QWA52wfcbPxB6CGioiIZMTb0F/NGxnlehSA4bb51DVS26mGiuQ9mnQVyaFIRxDj7qsOwIuurvzmKUdx4zRTA94gAKcWNBcREcnAhQ2d5W7Fl+5bsBtu3g54k2IkqKEiIiIZuLChH7jv5HN3I2yGhykBbxJOvBoqkgdp0lXkMnSuV4bP+zQimQB6OZ/hpFmYWpY/edE2F0ALmouIiGTA21AwGOrswR5PFFHG30y2v41FJ6cUERHJ0IUNHe78P3Z7rqOUcYq37G9hxa2GiuQxmnQVuUw1SxdleOvKHDJLMMDZB49p8LDtOzpbVwE6sZaIiEhGvA09SxC9nANINAO5zbqNAbb/AmqoiIhIRrwNTaQQTzkHcNYMpKF1O0NsCwA1VCQv0aSryBXwLmi+xlOTia77ARhlm5m2Np0WNBcREbk0b0N3m9czzPl/APS3LaaFZTOghoqIiGTE29C95nUMdj6VepttKfda1gFqqEheoUlXkSvkXdD8bXd7lrrrE2C4mREwiQhOAFrQXEREJCPehi7xNGaWqyUAk+xTKW/8BaihIiIiGfE29CtPA6a62gIw3v4OVYz9gBoqkhdo0lXkCv2zoLnBs86n2OEpTQkjnhkBkwgkRQuai4iIZODCk4K86nqYHz2VCTWSeMc+kcIkqqEiIiIZuLChr7s68b27OkFGCjPsE3FwRg0VyQM06SqSC7wLmidSiB7OQZw0C1PT8iej7e8BptbVERERyYC3oS5s9El5msNmMcpbYplon4Zx/sRaaqiIiMjFvA31YKGfsx8HPCUoYznOW/a30k5OqYaK+I4mXUVyyT8n1ipJb+fTuEwL91nX0t36FaB1dURERDLibWgcDp5KeYZk085d1s30tS4G1FAREZGMeBsaT2GedA4i0QykifU3Bts+AdRQEV/SpKtILvIuaL7ecxOvuB4BYITtI261/AZoXR0REZGMeBu61SzPc65uADxj+4zbLT8DaqiIiEhGvA3daZZhqLMHAL1tS7jbsgFQQ0V8RZOuIrnMu6D5bHdLPnU1wWqYvG1/kzLGUa2rIyIikglvQ//rbsoc151YDJM37FOINmLVUBERkUx4G/qFpxEzXPcA8Jp9BhWNg2qoiI9o0lUkl0U6ghjeujJg8LyrG794bqSIcZZ37RMIIYkpq/YqeCIiIpfwT0PhFdejbPRUIuz8ibXUUBERkYxd2NDxrgdZ676JECOZd+wTCeOMGiriA5p0FbkKejYtT5/m5UkmgJ4pz3DULEIlyyHesE/RguYiIiKZ8DbUef7EWkfMolSw/MUE+3SdWEtERCQT3oa6sdLP2Y9DZjjlLEeZrP1QEZ/QpKvIVfJsy8q0qxXFMYrSM2UgyaadO60/M8w2H9CC5iIiIhnxNvQ4Rc6fWMtGK+smeluXAGqoiIhIRrwNPUkYPVMGcs6009z6K8/aPgbUUJFrSZOuIleRd12dLeaNDHb2BOBJ21IetK4EYOTnv/tsbCIiInnZhQ39j+sJAJ61f8Kdlp8ANVRERCQj3ob+bpZjyPn90F62L+hg+QFQQ0WuFU26ilxFkY4gxt1XHUhd0Hyi834ARtlm0dDyO19vP8oTszf6cogiIiJ50oUN/cTdnNmuuwB4wz6FKsZ+NVRERCQDFzZ0iacRb7naAzDW/i61jd1qqMg1oklXkausc70yfN6nEQBvujvwubsRdsPNdPskoo1YVu08zsjPt/l4lCIiInnPhQ0d5XqUH9zVCDGSeTdgAsWJV0NFREQycGFDJ7ru52t3XQINF+8ETCSSE2qoyDWgSVeRa6Bm6aLnzyRpMMT5JJs9FXAYicy0j6cIp5m9fr8WNBcREbkEb0PdWOnj7M+fngiuN+KYHjCJAJxqqIiISAa8DTWx8IyzNzs8ZShhxPNuwASCOKeGilxlmnQVuUZ6Ni3P4w3LkkwAPVMGcsgMJ9pylOkBb2DHxZhlO/n14ElfD1NERCTP8TY0gcL8n3Mw8WYw9Sx/8KrtfcBUQ0VERDLgbWgihfi/lEHEmWFUs+xjgn06Bh41VOQq0qSryDX0UrtqNK9cgjgcdEt5ltNmELdYdvCKbSZg0m7KOj7edMDXwxQREclzvA3904yij/NpXKaFB2zf08O6FEANFRERyYC3oX9RgqdSBpBiWrnbupGnbQsBNVTkasn1SdeRI0diGEa6S0RERNr9pmkycuRIoqKiCAoKolmzZvz+u86cJwXHrK71aVm1FH+Ypenn7IvbNOhsW01P65cADP3sN2Ljk3w8ShHxBTVUJHPehq71VGeU61EAhtvm09zyC6CGihRkaqhI5rwN/cmszHOu7gAMsC3kbssGQA0VuRquyjddb7rpJmJjY9Muv/32W9p948ePZ+LEibz99tts2rSJiIgI7rzzTk6fPn01hiKSJ41sdxMAqz21/9lptM/nXsu61Ps/1z8ARQoqNVQkc96GznHfxUeuO7AYJm/a36aCcSj1fjVUpMBSQ0Uy523op+5mvOu6G4AJ9ulUM/5MvV8NFclVV2XS1WazERERkXYpUaIEkPrp4htvvMFzzz1Hx44dqVatGnPmzCExMZF58+ZdjaGI5EmRjqDzJ9aC2e6WzHK1BOB1+3QaGDv4evtRnpi90ZdDFBEfUUNFMvdPQw1edD3OendVQo0k3re/RjES1FCRAkwNFcnchfuhY1xdWO2uSZCRwsyA14kiTg0VyWVXZdJ19+7dREVFER0dzYMPPsiff6Z+ahITE8ORI0e466670rYNDAykadOmrFu3LsPnS05OJiEhId1FxN/1bFqePs3LAwajXI/ylbsegYaLdwImcKNxiFU7jzPy822+HqaIXGNqqEjWvA11YaOX82n2eUpRxnKc9wJeJ5AUNVSkgFJDRbLmbagHC/2c/djpKU1J4xTvB7xGYRLVUJFclOuTrg0aNGDu3Ll8/fXXvPvuuxw5coRGjRpx4sQJjhw5AkCpUqXSPaZUqVJp913KmDFjcDgcaZfSpUvn9rBFfOLZlpXTgjfA2YefPBVxGInMDhhPSU4ye/1+Xvt6p6+HKSLXiBoqkn3ehp4ilG7OZzllhnCzZQ+T7FMx8KihIgWMGiqSfd6GniaYbinPcswsQhXLQabaJ2PDpYaK5JJcn3Rt3bo19913H9WrV6dFixYsXZp6Rtk5c+akbWMYRrrHmKZ50W0XGj58OPHx8WmXgwcP5vawRXzm2ZaVebxhWZIJoEfKQPZ6IrneiGNWwHhCSGLKqr0KnkgBoYaK5Iy3oX+aUTyZMpBk08bd1o0Mt80HUENFChA1VCRnvA09TDjdUgaTaAbSxPobL9tmAaYaKpILrsryAhcKCQmhevXq7N69O+3skf/+NPHYsWMXfep4ocDAQMLCwtJdRPKTl9pVo3nlEpwkjK7OIRw3w7jJsp9p9jew4WLKqr3M+H6vr4cpIteYGiqSNW9DN5pVeNbZE4AnbUt51PoNgBoqUkCpoSJZ8zZ0m3kD/Z198ZgGXWyr6Gn9ElBDRa7UVZ90TU5OZseOHURGRhIdHU1ERAQrVqxIuz8lJYU1a9bQqFGjqz0UkTxtVtf6tKxaioNmKbqlDEn7pHGM7T3AZMyynfx68KSvhyki15AaKpI93oYu8TRmvLMTACNtc7jd8jOAGipSAKmhItnjbei3njq87HoUgOH2+dxt2QCooSJXItcnXQcPHsyaNWuIiYnhxx9/5P777ychIYHHH38cwzAYMGAAo0ePZtGiRWzbto2uXbsSHBxMly5dcnsoIn5nZLubAPjNvIE+zv64TYMHbN8zyPYpAO2mrOPjTQd8OUQRuYrUUJHL523oVHc7FriaYTVM3ra/RTUj9UQ6aqhI/qaGilw+b0Nnu1sxy9USgEn2adxs/AGooSKXK9cnXQ8dOsRDDz1EpUqV6NixIwEBAWzYsIGyZcsCMGTIEAYMGEDv3r2pW7cuf/31F9988w2hoaG5PRQRvxPpCGLcfdUBWOWpzXOu7gD0sy2mm/UrAIZ+9hux8Uk+G6OIXD1qqMjl+6ehBs+7uvG9uzrBRjIzA17nOo4DaqhIfqaGily+C/dDR7keZYW7DoGGk3cDJlDOiAXUUJHLYZimafp6EDmVkJCAw+EgPj5e6+pIvvTrwZO0m7IOgN7WxQyxfwLAMym9WOS5jZZVSzHjsbq+HKJInqAe5Jx+Z5LfeRtamEQ+DXiJKpaD7PZcxwMpL3CKUDVU5Dz1IOf0O5P8ztvQIM6xIOAValr+5ICnBPelvMRxiqihIudltwdXfU1XEcm5mqWLMrx1ZSD1MMn3XK0BeM0+gzssm/l6+1GemL3Rl0MUERHJk7wNPUMw3VKGEGsWo4LlL2YGvEYQ59RQERGRDHgbmkQhuqU8yz5PKcpYjjM7YByFSVRDRXJIk64ieVTPpuXp07w8YPCq62E+c9+KzfAwxf4m9YydrNp5nGc/2eLrYYqIiOQ53obGUpzHUoZxygzhZsseptonY8OlhoqIiGTA29ATOHjMOYzjZhg3WfYzwz6JAJxqqEgOaNJVJA97tmVl+jQvj4mFoc4n+dZdm0KGk/cDXqeKsZ9Pf/5LnzSKiIhcgrehu83r6ZbyLElmAM2tvzLe/g4GHjVUREQkA96GHjBL0TVlKGfMQjS2/s5E+zQ1VCQHNOkqksc927IyjzcsiwsbfZxP86OnMmFGInMDxlLGOMqqnccZ+fk2Xw9TREQkz/E29GezIr2cA3CaVjpa1/K87SPAVENFREQy4G3o72Y0PZ3PkGJaaWPdwAu2D1BDRbJHk64ifuCldtVoXrkEyQTQI2UQ2z1lKWHE86F9NKX4m9nr9/Pa1zt9PUwREZE8x9vQ1Z5aPOvsCUB321f0sn4BoIaKiIhkwNvQ/3mqM8jZC4AnbF/T27oEUENFsqJJVxE/MatrfR64+ToSCOHxlKFpi5rPC3iVcOKZsmqvgiciInIJ3oYu9tzKKOcjAAy1L6CTdRWAGioiIpIBb0O/8DTiJeejAAyxf8zD1m8BNVQkM5p0FfEjr3WqRfPKJThOER5OGcEhM5zyllg+DBhNURIUPBERkQx4G/q++26mutoCMNb2Hm0t6wDtNIqIiGTE29BZ7ta87WoHwCjbLDpYfgDUUJGMaNJVxM/M6lqfllVL8RcleDhlBEfNIlS2HOT/27vz+KjKQ//j33NmSUIgMSxmAQQU2TGyKOKKhYIoInJ7S60XxFpb1x/uirYFrTWopdflJ+6NWntv1ALuC1QFtCAgixBUFCVshrIFEghktuf+MZnJJBlCEpNMkvm8X6+8JnPmmeHMI8PHeebMzN/cs5SiQwQPAICjCDX0Id8kvewbKdsy+otrjsbYKyXxpBEAgKMJNfTPvp8r1zdGtmX0Z9dTusAOfqEWDQWqY9EVaIFmXtJfkrTFZOiXnnu0x6RogF2gF9wPKlmHCR4AAEcRbKil3/uu1D/858ppBfS46zGNsNdI4kkjAABHE2rofb7JesU3Qg7L6DHX4xphr5VEQ4GqWHQFWqDM1CQ9+B8DJUnfmc6a7Jmu/SZZg+1N+qv7YSWqjOABABBFqKFGtu7w/kZv+c+Q2/LradcjOtMOfgszDQUAoLrIhk73/Trc0Kdc/61h1leSaCgQiUVXoIWadNoJeuP6MyVJX5lumuyZrmKTpGH213rWNVsJ8hA8AACiCDU0IFs3e6/TAv8QJVhePeearaFWsJs0FACA6qo2dKF/sBItr553P6xTrU2SaCgQwqIr0IJld00LH/G63pyoqZ47dcgk6BxHvp50PcLCKwAARxFqqE9O3eD9f1rsP0VtrDLluh/WEGujJJ40AgAQTdWGfurvr7bWEb3onqWB1veSaCggsegKtHiRR7yuNr10lfd2HTZu/cSxVk+7/puFVwAAjiLUUI9c+q33Zv3L31/trMN6yT2Lt0kCAFCDUEPL5NbV3lu1MtBLqVap/u5+QNkc8QpIYtEVaBUij3j9LNBPv/LerlKToBGOL/Ssazaf8QoAwFGEGnpECbrKe5uW+Acq2SrTC+4HdZa9XhJPGgEAiCbU0MNK1FTPnVoR6K0Uq1R/c+dokPWtJBqK+MaiK9BKRB7xuizQX1M9d+iQSdC5jvV63vVnJekIwQMAIIpQQ48oQVd7b9VH/lOVZHn0V9efdZ79hSSeNAIAEE2ooYeUpKmeO7U80Ecp5e8aGWx9I4mGIn6x6Aq0IpFHvK4wfTXFc5cOmkSd5digXPfDasPCKwAAUYUaWia3rvHeHP5yrWdcszXSXiWJJ40AAEQTamipEjXVc4eW+fuFP66HL6hEPGPRFWhlIo94XWV6a4rnLhWbJJ1hf6UX3A8qWYcJHgAAUUR+xut13ml62z9MCZZPT7ke0Th7mSSeNAIAEE2ooYeVqCu9t+tf4S/XelDD7Q2SaCjiD4uuQCsUecTratNLkz3TVWza6HR7o1525+g4leiJj7/TjDfyY7ynAAA0L5HfyDzNe4Ne958pl+XXY67/rymODySJhgIAEEXVz0n/xD8g+Dnprgc12l4piYYivrDoCrRSkUe8fmF66peeu1Vk2mqQvUmvuu9TuvbpxWVbdOULK2K8pwAANC+hhvrl0M3e6/SCb7Rsy+g+14u62fmaJENDAQCIIvJz0n/tvU0f+IcqwfLpSdcj+k/HIkmioYgbLLoCrVjkEa/55kT93PMH7TRp6mXv0NyEmepuFerjr3fr9lfXxnZHAQBoZkINNbI103eFZnt/Jkma5pyvB5zPy1aAhgIAEEXk56Rf552mV33nyWEZPex6Rr92vCNJNBRxgUVXoJWLPOL1W9NFP/PM1PeBDHWx9ug1973qZxXotdU7NOGJT1V44HCM9xYAgOajoqGWHvdP1N3eq+Q3ln7p/EhzXI8qUWU0FACAKCLfNXKH7zd6xneRJOl3rr/rDmeeJEND0eqx6ArEgcgjXrebTvq5Z4Y2BLqpk1WsPPcfdZr1tdZuO6DhOR/plZVbY7y3AAA0H5EN/R//SF3nnaYy49QFjpV6xf1HHa8iGgoAQBQVDbX0gO+XetD7C0nSdc439ajrCSXIQ0PRqrHoCsSJSaedoGXTf6JTux6nPUrVLzy/1/JAH6VYh/WyO0cX2Z9Jku6cu15fbCuK8d4CANB8RDb0g8Dp+i/P3dpn2irb/l5vJPxe/a0CSTQUAICqKhqapif943W79zfyGocucSzVy+4H1F7FkmgoWicWXYE4kpmapNevP0v/ObizStRGUzx3aYF/iBIsr55wP6brHK9LMrrkiaV6evF3sd5dAACajciGrjR9NMHzR30b6KxMa59ec98b/lZmGgoAQGWRDX3NP0JXeO9UsWmj0+xvNN/9B51o/SCJhqL1YdEViEMP//xUnd+nk8rk1jXem/W8b6wk6Q7Xq3rI+Yxc8innva814438GO8pAADNS6ihW026Jnru1RL/QLWxyvSU6xFd73hdlgI0FACAKEINXRoYoImemdoW6KRu9i7Nd/9BI+w1kkRD0aqw6ArEqdypp2vq8G4KyNYffZP1O++V8htLP3cu1kuuWeqgA3px2RY+2BwAgCpCDS1RG13pvUMv+n4q2zK63fWqnnXNVooO0lAAAKIINXST6aIJnvu0KnCyUq1S/dX1Z01zzJWlAA1Fq8GiKxDHZl4yQNeff5Ik6WX/T3WV93YdNIka7vhSbyXco1OtTeEPNudtHgAAVAg11C+HZviu1J3eq1VmXBrlWKO33feov7WZhgIAEEWooXuVqss8v9PffKNkW0Y3u+bqufIXL2koWgMWXYE4d/uYPuGF10WBUzXBc5++C2Qqy9qnV9336nLHPyUZ3uYBAEAVkQ19xX++Jnpmamugk06wd2uee6b+y7FQNBQAgOpCDfXIpd/7fqV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      "text/plain": [
       "<Figure size 1700x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(17, 4))\n",
    "ax1 = fig.add_subplot(131)\n",
    "ax2 = fig.add_subplot(132)\n",
    "ax3 = fig.add_subplot(133)\n",
    "ax1.plot(strikes, prices, \".\", label=\"midpoint\")\n",
    "ax2.plot(strikes, prices, \".\", label=\"midpoint\")\n",
    "ax3.plot(strikes, prices, \".\", label=\"midpoint\")\n",
    "ax1.plot(strikes, Mert.FFT(strikes), label=\"Merton\")\n",
    "ax2.plot(strikes, VG.FFT(strikes), label=\"VG\")\n",
    "ax3.plot(strikes, Hest.FFT(strikes), label=\"Heston\")\n",
    "ax1.set_title(\"Merton model\")\n",
    "ax2.set_title(\"VG model\")\n",
    "ax3.set_title(\"Heston model\")\n",
    "ax1.set_xlabel(\"strike\")\n",
    "ax2.set_xlabel(\"strike\")\n",
    "ax3.set_xlabel(\"strike\")\n",
    "ax1.legend()\n",
    "ax2.legend()\n",
    "ax3.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [],
   "source": [
    "Mert_pred = Mert.FFT(strikes)\n",
    "VG_pred = VG.FFT(strikes)\n",
    "Hest_pred = Hest.FFT(strikes)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Are the values sorted? Mert:  True\n",
      "Are the values sorted? VG:  True\n",
      "Are the values sorted? Hest:  True\n",
      "Negative values? No\n"
     ]
    }
   ],
   "source": [
    "print(\n",
    "    \"Are the values sorted? Mert: \",\n",
    "    (np.diff(Mert_pred) <= 0).all() if payoff == \"call\" else (np.diff(Mert_pred) >= 0).all(),\n",
    ")\n",
    "print(\n",
    "    \"Are the values sorted? VG: \", (np.diff(VG_pred) <= 0).all() if payoff == \"call\" else (np.diff(VG_pred) >= 0).all()\n",
    ")\n",
    "print(\n",
    "    \"Are the values sorted? Hest: \",\n",
    "    (np.diff(Hest_pred) <= 0).all() if payoff == \"call\" else (np.diff(Hest_pred) >= 0).all(),\n",
    ")\n",
    "temp_list = list(compress([\"VG\", \"Mert\", \"Hest\"], [(VG_pred < 0).any(), (Mert_pred < 0).any(), (Hest_pred < 0).any()]))\n",
    "print(\"Negative values?\", temp_list if len(temp_list) != 0 else \"No\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Errors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Merton. Mean absolute error:  0.08542791932671698\n",
      "VG. Mean absolute error:  0.26298345236669735\n",
      "Heston. Mean absolute error:  0.2979257051693683\n"
     ]
    }
   ],
   "source": [
    "print(\"Merton. Mean absolute error: \", np.abs(prices - Mert_pred).mean())\n",
    "print(\"VG. Mean absolute error: \", np.abs(prices - VG_pred).mean())\n",
    "print(\"Heston. Mean absolute error: \", np.abs(prices - Hest_pred).mean())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(strikes, np.abs(prices - Hest_pred), label=\"Hest\")\n",
    "plt.plot(strikes, np.abs(prices - Mert_pred), label=\"Mert\")\n",
    "plt.plot(strikes, np.abs(prices - VG_pred), label=\"VG\")\n",
    "plt.plot(strikes, spreads, label=\"Spread\", linewidth=3, color=\"red\")\n",
    "plt.title(\"Pricing errors\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [],
   "source": [
    "IV_VG = []\n",
    "IV_Mert = []\n",
    "IV_Hest = []\n",
    "for i, K in enumerate(CALL.Strike.values):\n",
    "    IV_VG.append(implied_vol_minimize(VG_pred[i], S0=S0, K=K, T=T, r=r))\n",
    "    IV_Mert.append(implied_vol_minimize(Mert_pred[i], S0=S0, K=K, T=T, r=r))\n",
    "    IV_Hest.append(implied_vol_minimize(Hest_pred[i], S0=S0, K=K, T=T, r=r))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1600x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(16, 4))\n",
    "ax1 = fig.add_subplot(121)\n",
    "ax2 = fig.add_subplot(122)\n",
    "ax1.plot(strikes, option_type.IV_mid, \".\", label=\"BS inversion\")\n",
    "ax2.plot(strikes, option_type.IV_mid, \".\", label=\"BS inversion\")\n",
    "ax1.plot(strikes, IV_VG, label=\"VG\")\n",
    "ax2.plot(strikes, IV_VG, label=\"VG\")\n",
    "ax1.plot(strikes, IV_Mert, label=\"Mert\")\n",
    "ax2.plot(strikes, IV_Mert, label=\"Mert\")\n",
    "ax1.plot(strikes, IV_Hest, label=\"Hest\")\n",
    "ax2.plot(strikes, IV_Hest, label=\"Hest\")\n",
    "ax2.axis([250, 400, 0.15, 0.4])\n",
    "ax2.axvline(S0, color=\"black\", label=\"ATM\", linewidth=1)\n",
    "ax2.set_title(\"Model Implied volatilities. ATM Zoom\")\n",
    "ax1.set_xlabel(\"Strike\")\n",
    "ax1.set_ylabel(\"Imp Vol\")\n",
    "ax1.set_title(\"Model Implied volatilities\")\n",
    "ax2.set_xlabel(\"Strike\")\n",
    "ax2.set_ylabel(\"Imp Vol\")\n",
    "ax1.legend()\n",
    "ax2.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Again the Merton model is the model that performs better."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## References\n",
    "\n",
    "[1] Rebonato, R. (1999) \"Volatility and Correlation: In the Pricing of Equity, FX and Interest-Rate Options\", Wiley Series in Financial Engineering.\n",
    "\n",
    "[2] Gatheral, J. (2006) \"The Volatility Surface: A Practitioner’s Guide (Wiley Finance Series)\", John Wiley & Sons, New York.\n",
    "\n",
    "[3] Yiran Cui, Sebastian del Baño Rollin, Guido Germano, (2017), \"Full and fast calibration of the Heston stochastic volatility model\" European Journal of operational research. [link](http://www0.cs.ucl.ac.uk/staff/g.germano/papers/EurJOperRes_2017.pdf)\n",
    "\n",
    "[4] John Hull. \"Options, Futures, and Other Derivatives\"."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.4"
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 },
 "nbformat": 4,
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